Solve 10x^2-7x-1 - ScanMath

Evaluate

10 x^{2} - 7 x - 1

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

10 x^{2} - 7 x - 1 = 0

Substitute a= 10,b= - 7 and c= - 1 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 10 ( - 1 )}{2 \times 10}

Simplify the expression

x = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 10 ( - 1 )}{20}

Simplify the expression

More Steps

x = \frac{7 \pm 89}{20}

Separate the equation into 2 possible cases

x = \frac{7 + 89}{20} x = \frac{7 - 89}{20}

Solution

x_{1} = \frac{7 - 89}{20}, x_{2} = \frac{7 + 89}{20}

Alternative Form

x_{1} \approx - 0.121699, x_{2} \approx 0.821699

Find the roots