Solve 2x^2-9x-24 - ScanMath

Evaluate

2 x^{2} - 9 x - 24

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

2 x^{2} - 9 x - 24 = 0

Substitute a= 2,b= - 9 and c= - 24 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{9 \pm ( - 9 ) ^{2} - 4 \times 2 ( - 24 )}{2 \times 2}

Simplify the expression

x = \frac{9 \pm ( - 9 ) ^{2} - 4 \times 2 ( - 24 )}{4}

Simplify the expression

More Steps

x = \frac{9 \pm 273}{4}

Separate the equation into 2 possible cases

x = \frac{9 + 273}{4} x = \frac{9 - 273}{4}

Solution

x_{1} = \frac{9 - 273}{4}, x_{2} = \frac{9 + 273}{4}

Alternative Form

x_{1} \approx - 1.880678, x_{2} \approx 6.380678

Find the roots