Solve x^2 = 7x + 4

Evaluate

x^{2} = 7 x + 4

Move the expression to the left side

x^{2} - 7 x - 4 = 0

Substitute a= 1,b= - 7 and c= - 4 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{7 \pm ( - 7 ) ^{2} - 4 ( - 4 )}{2}

Simplify the expression

More Steps

x = \frac{7 \pm 65}{2}

Separate the equation into 2 possible cases

x = \frac{7 + 65}{2} x = \frac{7 - 65}{2}

Solution

x_{1} = \frac{7 - 65}{2}, x_{2} = \frac{7 + 65}{2}

Alternative Form

x_{1} \approx - 0.531129, x_{2} \approx 7.531129

Solve the quadratic equation