Solve (4x^2-23x) - (2x^2-3x-2)

Question

Simplify the expression

2 x^{2} - 20 x + 2

Show Solution

2 (x^{2} - 10 x + 1)

Show Solution

x_{1} = 5 - 26, x_{2} = 5 + 26

Alternative Form

x_{1} \approx 0.101021, x_{2} \approx 9.898979

Evaluate

(4 x^{2} - 23 x) - (2 x^{2} - 3 x - 2)

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

(4 x^{2} - 23 x) - (2 x^{2} - 3 x - 2) = 0

Remove the parentheses

4 x^{2} - 23 x - (2 x^{2} - 3 x - 2) = 0

Subtract the terms

More Steps

2 x^{2} - 20 x + 2 = 0

Substitute a= 2,b= - 20 and c= 2 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{20 \pm ( - 20 ) ^{2} - 4 \times 2 \times 2}{2 \times 2}

Simplify the expression

x = \frac{20 \pm ( - 20 ) ^{2} - 4 \times 2 \times 2}{4}

Simplify the expression

More Steps

x = \frac{20 \pm 384}{4}

Simplify the radical expression

More Steps

x = \frac{20 \pm 8 6}{4}

Separate the equation into 2 possible cases

x = \frac{20 + 8 6}{4} x = \frac{20 - 8 6}{4}

Simplify the expression

More Steps

x = 5 + 26 x = \frac{20 - 8 6}{4}

Simplify the expression

More Steps

x = 5 + 26 x = 5 - 26

Solution

x_{1} = 5 - 26, x_{2} = 5 + 26

Alternative Form

x_{1} \approx 0.101021, x_{2} \approx 9.898979

Show Solution