Question

Select the correct answer. What are the solutions to this quadratic equation?

A)x=4+sqrt 10
B)x=-2+4 sqrt 10
C)x=4+2 sqrt 10
D)x=-4+4 sqrt 10

Answer 1

Let's solve your equation

`x^2+13=8x+37`

Step 1: Subtract 8x+37 from both sides.

`x^2+13-(8x+37)=8x+37-(8x+37)`

`x^2-8x-24=0`

For this equation: a= 1, b= -8, c= -24

Step 2: Use quadratic formula with a=1, b=-8, c=-24.

`x=(-b+√(b^2-4ac) )/(2a)`

`x=(-(-8)+√((-8)^2-4(1)(-24)) )/(2(1))`

`x=(8+√(160) )/(2)`

`x=4+2√(10)` or
`x=4-2√(10)` This is the answer

So,the correct option is C

I hope this help :)