Solve x^2 = x + 7

Evaluate

x^{2} = x + 7

Move the expression to the left side

x^{2} - x - 7 = 0

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

x = \frac{1 \pm ( - 1 ) ^{2} - 4 ( - 7 )}{2}

Simplify the expression

More Steps

x = \frac{1 \pm 29}{2}

Separate the equation into 2 possible cases

x = \frac{1 + 29}{2} x = \frac{1 - 29}{2}

Solution

x_{1} = \frac{1 - 29}{2}, x_{2} = \frac{1 + 29}{2}

Alternative Form

x_{1} \approx - 2.192582, x_{2} \approx 3.192582

X^2 = x + 7