Solve (x)(2x-5)=23

Evaluate

x (2 x - 5) = 23

Expand the expression

More Steps

2 x^{2} - 5 x = 23

Move the expression to the left side

2 x^{2} - 5 x - 23 = 0

Substitute a= 2,b= - 5 and c= - 23 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 2 ( - 23 )}{2 \times 2}

Simplify the expression

x = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 2 ( - 23 )}{4}

Simplify the expression

More Steps

x = \frac{5 \pm 209}{4}

Separate the equation into 2 possible cases

x = \frac{5 + 209}{4} x = \frac{5 - 209}{4}

Solution

x_{1} = \frac{5 - 209}{4}, x_{2} = \frac{5 + 209}{4}

Alternative Form

x_{1} \approx - 2.364208, x_{2} \approx 4.864208

Solve the quadratic equation