1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oksanka [162]
4 years ago
14

Solve showing steps. Use Insert equation to get the symbol and Ctrl with . For exponents x2 + 3x - 4 = 0 9x2 + 12x + 4 =0 (leave

answer as a fraction) x2 - 2x - 3 = 0 x2 - 6x + 9 = 0 2x2 - 4x - 3 = 0 (round to two decimal places)*
Mathematics
1 answer:
ipn [44]4 years ago
5 0

Here all the given equations are in the form of

ax^2+bx+c=0

The value of x can be determined by the perfect square method as follows:

ax^2+bx+c=0

\Rightarrow x^2+\frac{b}{a}+\frac{c}{a}=0

\Rightarrow x^2+2\times\frac{b}{2a}+\left(\frac{b}{2a}\right)^2-\left(\frac{b}{2a}\right)^2+\frac{c}{a}=0

\Rightarrow \left(x+\frac{b}{2a}\right)^2=\left(\frac{b}{2a}\right)^2-\frac{c}{a}

\Rightarrow x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\;\cdots(i)

Now, for x^2+3x-4=0

a=1, b=3, c=-4

So, from equation (i)

x=\frac{-3\pm\sqrt{3^2-4\times1\times(-4)}}{2\times1}

\Rightarrow x=\frac{3\pm\sqrt{9+16}}{2}

\Rightarrow x=\frac{3\pm5}{2}

\Rightarrow x=\frac{3+5}{2},\frac{3-5}{2}

\Rightarrow x= 4, -1

Similarly, for 9x^2+12x+4=0

a=9, b=12, c=4

So, from equation (i)

x=\frac{-12\pm\sqrt{12^2-4\times9\times4}}{2\times9}

\Rightarrow x=\frac{-12\pm0}{18}

\Rightarrow x=\frac{-2}{3}

For x^2-2x-3=0

a=1, b=-2, c=-3

x=\frac{-(-2)\pm\sqrt{(-2)^2-4\times1\times(-3)}}{2\times1}

\Rightarrow x=\frac{2\pm\sqrt{16}}{2}

\Rightarrow x=\frac{2\pm4}{2}

\Rightarrow x=\frac{6}{2},\frac{-2}{2}

\Rightarrow x=3.00, -1.00

For x^2-6x+9=0

a=1, b=-6, c=9

x=\frac{-(-6)\pm\sqrt{(-6)^2-4\times1\times9}}{2\times1}

\Rightarrow x=\frac{6\pm0}{2}

\Rightarrow x=3.00

For 2x^2-4x-3=0

a=2, b=-4, c=-3

x=\frac{-(-4)\pm\sqrt{(-4)^2-4\times2\times(-3)}}{2\times2}

\Rightarrow x=\frac{4\pm\sqrt{40}}{4}

\Rightarrow x=\frac{4\pm2\sqrt{10}}{4}

\Rightarrow x=\frac{4+2\sqrt{10}}{4},\frac{4-2\sqrt{10}}{4}

\Rightarrow x=2.58, -0.58

You might be interested in
What is the solution to the inequality 0.8x+20<1.2x−40?
LuckyWell [14K]

Answer:x=150

Step-by-step explanation:

Step 1: Subtract 1.2x from both sides.

0.8x+20−1.2x=1.2x−40−1.2x

−0.4x+20=−40

Step 2: Subtract 20 from both sides.

−0.4x+20−20=−40−20

−0.4x=−60

Step 3: Divide both sides by -0.4.

−0.4x

−0.4

=

−60

−0.4

3 0
3 years ago
What’s the value of X In this????
kkurt [141]

Answer:

x = 68 degrees

Step-by-step explanation:

Step 1: We know this is a isosceles triangle

Since we know it is a isosceles triangle it has 2 of the same angle so the unknown side(not x) is 59

Step 2: Use the 2 angles to find 'x'

Angles in a triangle add up to 180 so we subtract 59 x 2 from 180 to get 68

Therefore angle x is 68 degrees

5 0
3 years ago
Read 2 more answers
Application of Geometric Series
Gnoma [55]

Answer:

  7.2224

Step-by-step explanation:

The value of the summation is given by the formula ...

  Sn = (a1)(1 -r^n)/(1 -r) . . . . . where a1 is the first of n terms, and r is the common ratio.

Your sum has first term and ratio ...

  a1 = 2(0.6) . . . . . summation term for n=1

  r = 0.6

So the sum is ...

  \displaystyle \sum_{n=1}^4{2(0.6^n)}=2(0.6)\dfrac{1-0.6^4}{1-0.6}=\dfrac{1.2}{0.4}(0.8704) = 2.6112

Then the value of the entire given expression is ...

  \displaystyle 2+2\sum_{n=1}^4{}2(0.6^n)=2+2(2.6112)=\boxed{7.2224}

_____

A calculator can help you find the value.

6 0
2 years ago
Math homework questions ​
DanielleElmas [232]
Y= 1/2x -2 is the equation for this line.
3 0
3 years ago
I need help again brainiest who ever get this right
Leona [35]

Answer:

Step-by-step explanation:

26x25x24x23x22x21x10x9=30,891,577,600

=Thirty billion, eight hundred ninety-one million, five hundred seventy-seven thousand, six hundred.

the answer was kind of in the question btw :)

6 0
4 years ago
Other questions:
  • Can you simplify the equation?
    14·2 answers
  • Need to see how you divide 247÷100
    10·1 answer
  • How is the goal of solving equations with the variable on each side the same as solving multi-step equations?
    11·1 answer
  • 4. A rectangle has a width of 2 cm and a perimeter of 25 cm. Find the length and the area.
    10·1 answer
  • If a tree 28 meters tall casts a shadow 32 meters long, what is the angle of elevation of the sun to the nearest degree?
    7·2 answers
  • Help with this please will give brainliest!
    7·1 answer
  • 10 cookies and 3 brownies costs $11.25
    8·1 answer
  • Whats the answer for 7) as a decimal.
    10·2 answers
  • Benji hiked 3 miles in 2.5 hours.<br> Find the unit rate
    11·1 answer
  • If a person walks 1/4 mile in 10 minutes, how far will that person walk in one hour?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!