Question

Solve x2 − 7x = −13.

Answer 1

Answer:

$\frac{7+\sqrt{-3} }{2} \\\\\frac{7-\sqrt{-3} }{2}$

Step-by-step explanation:

Step 1:  Use the Quadratic formula to solve

$x^2 - 7x = -13$

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

$x^2-7x+13=0$

$\frac{-b+\sqrt{b^2-4ac} }{2a} \\\frac{-b-\sqrt{b^2-4ac} }{2a}$

$\frac{-(-7)+\sqrt{(-7)^2-4(1)(13)} }{2(1)} \\\frac{-(-7)-\sqrt{(-7)^2-4(1)(13)} }{2(1)}$

$\frac{7+\sqrt{49-52} }{2} \\\\\frac{7-\sqrt{49-52} }{2}$

Answer:  $\frac{7+\sqrt{-3} }{2} \\\\\frac{7-\sqrt{-3} }{2}$