Question

Solve x2 – 12x + 36 = 90 for x.

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Answer 1

its A ya'll 6+ or - 3 square root 10

Answer 2

`x=6+3√(10)\text{ or } x=6-3√(10)`

Explanation:

We have been given an equation
`x^(2)-12x+36=90` and we are asked to solve for x.

`x^(2)-12x+36-90=90-90`

`x^(2)-12x-54=0`

We will use quadratic formula to solve our given problem.

`x=(-b\pm√(b^2-4ac))/(2a)`

Upon substituting our given values in above formula we will get,

`x=(-(-12)\pm√((-12)^2-4*1*-54))/(2*1)`

`x=(12\pm√(144+216))/(2)`

`x=(12\pm√(360))/(2)`

`x=(12\pm 6√(10))/(2)`

`x=6+3√(10)\text{ or } x=6-3√(10)`

Therefore, the solution for our given equation are:
`x=6+3√(10)\text{ or } x=6-3√(10)`