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
Anvisha [2.4K]
3 years ago
10

Use the quadratic formula to solve the equation.

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
7 0

ANSWER

x =  \frac{ 5  - \sqrt{ 5} }{4}  \: or  \:  \: x =  \frac{ 5 +  \sqrt{ 5} }{4}

EXPLANATION

The given quadratic equation is

4 {x}^{2}  - 10x + 5 = 0

We compare this to

a {x}^{2}  + bx + c = 0

to get a=4, b=-10, and c=5.

The quadratic formula is given by

x =  \frac{ - b \pm \sqrt{ {b}^{2}   - 4ac} }{2a}

We substitute these values into the formula to get:

x =  \frac{ -  - 10 \pm \sqrt{ {( - 10)}^{2}   - 4(4)(5)} }{2(4)}

This implies that

x =  \frac{ 10 \pm \sqrt{ 100  - 80} }{8}

x =  \frac{ 10 \pm \sqrt{ 20} }{8}

x =  \frac{ 10 \pm2 \sqrt{ 5} }{8}

x =  \frac{ 5 \pm \sqrt{ 5} }{4}

The solutions are:

x =  \frac{ 5  - \sqrt{ 5} }{4}  \: or  \:  \: x =  \frac{ 5 +  \sqrt{ 5} }{4}

meriva3 years ago
4 0

Answer:

\large\boxed{x=\dfrac{5-\sqrt5}{4},\ x=\dfrac{5+\sqrt5}{4}}

Step-by-step explanation:

\text{The quadratic formula for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac

\text{We have the equation:}\ 4x^2-10x+5=0\\\\a=4,\ b=-10,\ c=5\\\\b^2-4ac=(-10)^2-4(4)(5)=100-80=20>0\\\\x=\dfrac{-(-10)\pm\sqrt{20}}{2(4)}=\dfrac{10\pm\sqrt{4\cdot5}}{8}=\dfrac{10\pm\sqrt4\cdot\sqrt5}{8}=\dfrac{10\pm2\sqrt5}{8}\\\\=\dfrac{2(5\pm\sqrt5)}{8}=\dfrac{5\pm\sqrt5}{4}

You might be interested in
If CDEF ≅ MNPQ, then EF≅ _____
Anuta_ua [19.1K]
Your answer would be PQ 
8 0
3 years ago
− 4 /5 + 40/75 +100%
Reika [66]

Answer:

0.266666666

Step-by-step explanation:

7 0
3 years ago
Find the limit as x approaches 0 for cos(2x) / x
zhenek [66]

We are asked to determine the limits of the function cos(2x) / x as x approaches to zero. In this case, we first substitute zero to x resulting to 1/0.  A number, any number divided by zero is always equal to infinity, Hence there are no limits to this function.
5 0
3 years ago
Please just answer don’t ask
frozen [14]

Answer:

20

The strawberry is 3, The watermelon is 3, The peach is 9, and the other one is 5

3+3+9+5=20

5 0
3 years ago
Read 2 more answers
Direction can be indicated by negative and positive numbers.
stiv31 [10]
Negative and Positive numbers dictate direction on a graph. Negative numbers indicate the point is moving left, and positive numbers indicate the point is moving right.
8 0
3 years ago
Other questions:
  • How many solutions does the equation have?
    5·2 answers
  • If x and y are both positive, when is x-y negative?
    6·2 answers
  • Math Help Please
    15·1 answer
  • How can I work out 30% of (blank) is 60?
    10·1 answer
  • You need to solve for x and y .
    7·1 answer
  • If each square on the grid represents 5 square feet what is the approximate area of the fish pond
    13·2 answers
  • Aye shorty what’s me+you ayeeee
    9·1 answer
  • ANSWER ASAP, FIND LENGTH OF MISSING SIDE USING PYTHAGOREOON THEOREM
    6·1 answer
  • Kelly flies a distance of 2,100 miles. the trip takes 4 2/3 hours
    12·1 answer
  • Klara and Meg are at an animated movie. The movie starts at 7:20 PM and ends at 8:55 PM. How long is the movie?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!