Solve 5x^(2)-2=4x

Evaluate

5 x^{2} - 2 = 4 x

Move the expression to the left side

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

Rewrite in standard form

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

Substitute a= 5,b= - 4 and c= - 2 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{4 \pm ( - 4 ) ^{2} - 4 \times 5 ( - 2 )}{2 \times 5}

Simplify the expression

x = \frac{4 \pm ( - 4 ) ^{2} - 4 \times 5 ( - 2 )}{10}

Simplify the expression

More Steps

x = \frac{4 \pm 56}{10}

Simplify the radical expression

More Steps

x = \frac{4 \pm 2 14}{10}

Separate the equation into 2 possible cases

x = \frac{4 + 2 14}{10} x = \frac{4 - 2 14}{10}

Simplify the expression

More Steps

x = \frac{2 + 14}{5} x = \frac{4 - 2 14}{10}

Simplify the expression

More Steps

x = \frac{2 + 14}{5} x = \frac{2 - 14}{5}

Solution

x_{1} = \frac{2 - 14}{5}, x_{2} = \frac{2 + 14}{5}

Alternative Form

x_{1} \approx - 0.348331, x_{2} \approx 1.148331

Solve the quadratic equation