Question

Solve for x by using the quadratic formula: x2 – 7x = 3. *Hint: Make sure before using the quadratic formula you’re your equation is in standard form and set equal to zero.

A=_______ B=_______ C=________

Answer 1

Hello !

x² - 7x = 3

x² - 7x - 3 = 0

a = 1

b = -7

c = -3

`x_(1) = \frac{-b+\sqrt{b^(2)-4ac } }{2a} = \frac{-(-7)+\sqrt{(-7)^(2)-4*1*(-3) } }{2*1} = (7 + √(61) )/(2)`

`x_(2) = \frac{-b-\sqrt{b^(2)-4ac } }{2a}= \frac{-(-7)-\sqrt{(-7)^(2)-4*1*(-3) } }{2*1} = (7 - √(61) )/(2)`

x = (7 ± √61)/2