Solve 4x^2-8x-3 - ScanMath

Evaluate

4 x^{2} - 8 x - 3

To find the roots of the expression,set the expression equal to 0

4 x^{2} - 8 x - 3 = 0

Substitute a= 4,b= - 8 and c= - 3 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{8 \pm ( - 8 ) ^{2} - 4 \times 4 ( - 3 )}{2 \times 4}

Simplify the expression

x = \frac{8 \pm ( - 8 ) ^{2} - 4 \times 4 ( - 3 )}{8}

Simplify the expression

More Steps

x = \frac{8 \pm 112}{8}

Simplify the radical expression

More Steps

x = \frac{8 \pm 4 7}{8}

Separate the equation into 2 possible cases

x = \frac{8 + 4 7}{8} x = \frac{8 - 4 7}{8}

Simplify the expression

More Steps

x = \frac{2 + 7}{2} x = \frac{8 - 4 7}{8}

Simplify the expression

More Steps

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

Solution

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

Alternative Form

x_{1} \approx - 0.322876, x_{2} \approx 2.322876

Find the roots