Solve 18 - 2[ x ( x - 5)]

Question

Simplify the expression

18 - 2 x^{2} + 10 x

Show Solution

2 (9 - x^{2} + 5 x)

Show Solution

x_{1} = \frac{5 - 61}{2}, x_{2} = \frac{5 + 61}{2}

Alternative Form

x_{1} \approx - 1.405125, x_{2} \approx 6.405125

Evaluate

18 - 2 (x (x - 5))

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

18 - 2 (x (x - 5)) = 0

Multiply the terms

18 - 2 x (x - 5) = 0

Calculate

More Steps

18 - 2 x^{2} + 10 x = 0

Rewrite in standard form

- 2 x^{2} + 10 x + 18 = 0

Multiply both sides

2 x^{2} - 10 x - 18 = 0

Substitute a= 2,b= - 10 and c= - 18 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{10 \pm ( - 10 ) ^{2} - 4 \times 2 ( - 18 )}{2 \times 2}

Simplify the expression

x = \frac{10 \pm ( - 10 ) ^{2} - 4 \times 2 ( - 18 )}{4}

Simplify the expression

More Steps

x = \frac{10 \pm 244}{4}

Simplify the radical expression

More Steps

x = \frac{10 \pm 2 61}{4}

Separate the equation into 2 possible cases

x = \frac{10 + 2 61}{4} x = \frac{10 - 2 61}{4}

Simplify the expression

More Steps

x = \frac{5 + 61}{2} x = \frac{10 - 2 61}{4}

Simplify the expression

More Steps

x = \frac{5 + 61}{2} x = \frac{5 - 61}{2}

Solution

x_{1} = \frac{5 - 61}{2}, x_{2} = \frac{5 + 61}{2}

Alternative Form

x_{1} \approx - 1.405125, x_{2} \approx 6.405125

Show Solution