Solve 2x^(2)-22x-58

Question

Factor the expression

2 (x^{2} - 11 x - 29)

Show Solution

x_{1} = \frac{11 - 237}{2}, x_{2} = \frac{11 + 237}{2}

Alternative Form

x_{1} \approx - 2.197402, x_{2} \approx 13.197402

Evaluate

2 x^{2} - 22 x - 58

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

2 x^{2} - 22 x - 58 = 0

Substitute a= 2,b= - 22 and c= - 58 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{22 \pm ( - 22 ) ^{2} - 4 \times 2 ( - 58 )}{2 \times 2}

Simplify the expression

x = \frac{22 \pm ( - 22 ) ^{2} - 4 \times 2 ( - 58 )}{4}

Simplify the expression

More Steps

x = \frac{22 \pm 948}{4}

Simplify the radical expression

More Steps

x = \frac{22 \pm 2 237}{4}

Separate the equation into 2 possible cases

x = \frac{22 + 2 237}{4} x = \frac{22 - 2 237}{4}

Simplify the expression

More Steps

x = \frac{11 + 237}{2} x = \frac{22 - 2 237}{4}

Simplify the expression

More Steps

x = \frac{11 + 237}{2} x = \frac{11 - 237}{2}

Solution

x_{1} = \frac{11 - 237}{2}, x_{2} = \frac{11 + 237}{2}

Alternative Form

x_{1} \approx - 2.197402, x_{2} \approx 13.197402

Show Solution