Solve 19x + 25 - 17x^2 - 12x - 7

Evaluate

19 x + 25 - 17 x^{2} - 12 x - 7

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

19 x + 25 - 17 x^{2} - 12 x - 7 = 0

Subtract the terms

More Steps

7 x + 25 - 17 x^{2} - 7 = 0

Subtract the numbers

7 x + 18 - 17 x^{2} = 0

Rewrite in standard form

- 17 x^{2} + 7 x + 18 = 0

Multiply both sides

17 x^{2} - 7 x - 18 = 0

Substitute a= 17,b= - 7 and c= - 18 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 17 ( - 18 )}{2 \times 17}

Simplify the expression

x = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 17 ( - 18 )}{34}

Simplify the expression

More Steps

x = \frac{7 \pm 1273}{34}

Separate the equation into 2 possible cases

x = \frac{7 + 1273}{34} x = \frac{7 - 1273}{34}

Solution

x_{1} = \frac{7 - 1273}{34}, x_{2} = \frac{7 + 1273}{34}

Alternative Form

x_{1} \approx - 0.843504, x_{2} \approx 1.255268

Simplify the expression