Which are the solutions of the quadratic equation #x^2=7x+4#?

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Answer 1 · 2018-07-08T06:29:02

#x = 7/2 +- sqrt(65)/2#

Given: #x^2 = 7x + 4#

Put the equation in #Ax^2 + Bx + C = 0# form.

#x^2 - 7x - 4 = 0#

Use the quadratic formula to solve:

#x = (-B +- sqrt(B^2 - 4AC))/(2A)#

#x = (7 +- sqrt(49 - 4(1)(-4)))/2#

#x = 7/2 +- sqrt(65)/2#