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irga5000 [103]
3 years ago
14

6r^2+6r+12=0solve the square​

Mathematics
1 answer:
Sedbober [7]3 years ago
8 0

Answer:

\large\boxed{\bold{NO\ REAL\ SOLUTION}}\\\text{in the set of complex numbers}\\\boxed{x=\dfrac{-1\pm i\sqrt7}{2(1)}}

Step-by-step explanation:

6r^2+6r+12=0\qquad\text{divide both sides by 6}\\\\\dfrac{6r^2}{6}+\dfrac{6r}{6}+\dfrac{12}{6}=0\\\\r^2+r+2=0\\\\\text{Use the quadratic formula:}\\\\\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{hen the equation has two real solution}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

\text{We have}\ a=1,\ b=1,\ c=2.\\\\b^2-4ac=1^2-(4)(1)(2)=1-8=-7

\text{If you want solution in the set of complex numbers, then}\\\\\sqrt{-7}=\sqrt{(-1)(7)}=\sqrt{-1}\cdot\sqrt7=i\sqrt7\\\\x=\dfrac{-1\pm i\sqrt7}{2(1)}\\\\x=\dfrac{-1\pm i\sqrt7}{2}

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Can you please help me out? ;-;
JulsSmile [24]

Answer:

3^2+2^2=13

\sqrt{13}

= 3.60555

Step-by-step explanation:

prove me wrong

3 0
3 years ago
Red blood cell is about 7.5 micrometers in diameter. A coarse grain of sand is about 70 micrometers in diameter. Find the differ
yarga [219]

Answer:

Difference = 62.5 micrometer

Step-by-step explanation:

Given that:

Diameter of red blood cell = 7.5 micrometer

Diameter of coarse grain of sand = 70 micrometers

For calculating the difference between two diameters, we will subtract the diameter of red blood cell from diameter of grain of sand.

Difference = 70 - 7.5

Difference = 62.5 micrometer

Hence,

Difference = 62.5 micrometer

5 0
3 years ago
he diagram represents the factorization of x2 – 9x + 18. It is partially completed. A 2-column table with 2 rows. First column i
8_murik_8 [283]

The factored form of the expression is given as (x-6)(x-3)

<h3>Factoring quadratic equation</h3>

Quadratic equation are equation that has a leading degree of w.

Given the given quadratic equations

x^2 – 9x + 18

Factorize to have;

x^2 - 3x - 6x + 18

x(x-3) -6(x -3)

(x-6)(x-3)

Hence the factored form of the expression is given as (x-6)(x-3)

Learn more on factored form here: brainly.com/question/43919

#SPJ1

7 0
1 year ago
Use the quadratic formula to find the solution to the quadratic equation given
Anit [1.1K]

Answer:

x=-1/2

Step-by-step explanation:

using almighty formula

x= -b+or-√b²-4ac/2a

x=-1+ or -√-1+4(1)(1/4) divided by 2(1)

x=-1+ or -√-1+1 divided 2

x=-1+0 divided by 2

x=-1/2

5 0
2 years ago
Can someone help me wit this problem it is 20 points and i need to work on it for school and i Am very confused. Please help
LUCKY_DIMON [66]
So the slope of the first line is 4/3. If this line is perpendicular, then you have to flip it and switch the sign (flip it n switch it (how I remember it)). So the slope of the new line is -3/4.
Then you have to plug in the point you're given and the new slope. Use y=mx+b format.
-1=-3/4*-4+b
Then solve for b.
-3/4*-4 is 3.
-1=3+b
Subtract 3 from each side.
-4=b.
So now you have the y-intercept and slope. All you have to do is plug it in.
y=-3/4x + -4 or y=-3/4 - 4
There's your answer!
3 0
3 years ago
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