Question

Solve x2 − 7x = −13.

Answer 1

`(7+√(-3) )/(2) \\\\(7-√(-3) )/(2)`

Explanation:

Step 1: Use the Quadratic formula to solve

`x^2 - 7x = -13`

`x^2 -7x+13 = -13 +13`

`x^2-7x+13=0\\`

`(-b+√(b^2-4ac) )/(2a) \\(-b-√(b^2-4ac) )/(2a)`

`(-(-7)+√((-7)^2-4(1)(13)) )/(2(1)) \\(-(-7)-√((-7)^2-4(1)(13)) )/(2(1))`

`(7+√(49-52) )/(2) \\\\(7-√(49-52) )/(2)`

Answer:
`(7+√(-3) )/(2) \\\\(7-√(-3) )/(2)`