Solve 5x^2+3x-7 - ScanMath

Evaluate

5 x^{2} + 3 x - 7

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

5 x^{2} + 3 x - 7 = 0

Substitute a= 5,b= 3 and c= - 7 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 3 \pm 3 ^{2} - 4 \times 5 ( - 7 )}{2 \times 5}

Simplify the expression

x = \frac{- 3 \pm 3 ^{2} - 4 \times 5 ( - 7 )}{10}

Simplify the expression

More Steps

x = \frac{- 3 \pm 149}{10}

Separate the equation into 2 possible cases

x = \frac{- 3 + 149}{10} x = \frac{- 3 - 149}{10}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x = \frac{- 3 + 149}{10} x = - \frac{3 + 149}{10}

Solution

x_{1} = - \frac{3 + 149}{10}, x_{2} = \frac{- 3 + 149}{10}

Alternative Form

x_{1} \approx - 1.520656, x_{2} \approx 0.920656

Find the roots