Solve 2x^2-7x-5 - ScanMath

Evaluate

2 x^{2} - 7 x - 5

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

2 x^{2} - 7 x - 5 = 0

Substitute a= 2,b= - 7 and c= - 5 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 2 ( - 5 )}{2 \times 2}

Simplify the expression

x = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 2 ( - 5 )}{4}

Simplify the expression

More Steps

x = \frac{7 \pm 89}{4}

Separate the equation into 2 possible cases

x = \frac{7 + 89}{4} x = \frac{7 - 89}{4}

Solution

x_{1} = \frac{7 - 89}{4}, x_{2} = \frac{7 + 89}{4}

Alternative Form

x_{1} \approx - 0.608495, x_{2} \approx 4.108495

Find the roots