Solve (2x^2-11) - 7x 9

Evaluate

(2 x^{2} - 11) - 7 x \times 9

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

(2 x^{2} - 11) - 7 x \times 9 = 0

Remove the parentheses

2 x^{2} - 11 - 7 x \times 9 = 0

Multiply the terms

2 x^{2} - 11 - 63 x = 0

Rewrite in standard form

2 x^{2} - 63 x - 11 = 0

Substitute a= 2,b= - 63 and c= - 11 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{63 \pm ( - 63 ) ^{2} - 4 \times 2 ( - 11 )}{2 \times 2}

Simplify the expression

x = \frac{63 \pm ( - 63 ) ^{2} - 4 \times 2 ( - 11 )}{4}

Simplify the expression

More Steps

x = \frac{63 \pm 4057}{4}

Separate the equation into 2 possible cases

x = \frac{63 + 4057}{4} x = \frac{63 - 4057}{4}

Solution

x_{1} = \frac{63 - 4057}{4}, x_{2} = \frac{63 + 4057}{4}

Alternative Form

x_{1} \approx - 0.173646, x_{2} \approx 31.673646

Simplify the expression