Solve 4x^(2)-16x=-8

Evaluate

4 x^{2} - 16 x = - 8

Move the expression to the left side

4 x^{2} - 16 x + 8 = 0

Substitute a= 4,b= - 16 and c= 8 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{16 \pm ( - 16 ) ^{2} - 4 \times 4 \times 8}{2 \times 4}

Simplify the expression

x = \frac{16 \pm ( - 16 ) ^{2} - 4 \times 4 \times 8}{8}

Simplify the expression

More Steps

x = \frac{16 \pm 128}{8}

Simplify the radical expression

More Steps

x = \frac{16 \pm 8 2}{8}

Separate the equation into 2 possible cases

x = \frac{16 + 8 2}{8} x = \frac{16 - 8 2}{8}

Simplify the expression

More Steps

x = 2 + 2 x = \frac{16 - 8 2}{8}

Simplify the expression

More Steps

x = 2 + 2 x = 2 - 2

Solution

x_{1} = 2 - 2, x_{2} = 2 + 2

Alternative Form

x_{1} \approx 0.585786, x_{2} \approx 3.414214

Solve the quadratic equation