Question

Solve x2 − 10x = −13.

A) 5 ± 2square root 3
B) 5 ± square root 38
C) 5 ± 2square root 2
D) 5 ± 3square root 2​

Answer 1

B

Explanation:

First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial
`x^(2)-10x+13`. We can now use the quadratic formula to solve.

Remember that the quadratic formula is

`\frac{-b+/-\sqrt{b^(2)-4ac } }{2a}`

Substitute the numbers from the equation into the formula.

`\frac{-(-10)+/-\sqrt{(-10)^(2)-4(1)(13) } }{2(1)}`

Simplify:

`(10+/-√(100-52) )/(2)`

`(10+/-√(48) )/(2)`

Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with
`5+/-√(48)`.

Hope this helps!