Mathematics, 10.10.2019 11:10 caitlin89

Solve x2 + 10x = 24 by completing the square. which is the solution set of the equation?

Answers: 3

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Answer from: mariagoldgames

The solution set of the equation are (2,0) and (-12,0)

Step-by-step explanation:

Given : Equation x^2+10x=24

To find : Solve equation by completing the square ?

Solution :

The general form of quadratic equation is ax^2+bx+c=0

So, x^2+10x-24=0

To complete the square we add and subtract $(\frac{b}{2})^2$

i.e. $(\frac{b}{2})^2=(\frac{10}{2})^2=5^2$

Applying in equation,

x^2+10x-24+5^2-5^2=0

Re-writ equation as,

$x^2+2\times 5\times x+5^2-24-25=0$

Apply a^2+2ab+b^2=(a+b)^2

(x+5)^2-49=0

(x+5)^2=49

Taking root both side,

$x+5=\pm \sqrt{49}$

$x+5=\pm 7$

x+5=7 or x+5=-7

x=2 or x=-12

Therefore, the solution set of the equation are (2,0) and (-12,0)

Answer from: lilcupe738

The correct answer is C!!!

I hope this helps you out, have an amazing day

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Answer from: Quest

step-by-step explanation:

compare

Answer from: Quest

the answer is c

step-by-step explanation: i took a test with this question on it

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