Solve x^2*2 + 2 x - 15

Question

Simplify the expression

2 x^{2} + 2 x - 15

Show Solution

x_{1} = - \frac{1 + 31}{2}, x_{2} = \frac{- 1 + 31}{2}

Alternative Form

x_{1} \approx - 3.283882, x_{2} \approx 2.283882

Evaluate

x^{2} \times 2 + 2 x - 15

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

x^{2} \times 2 + 2 x - 15 = 0

Use the commutative property to reorder the terms

2 x^{2} + 2 x - 15 = 0

Substitute a= 2,b= 2 and c= - 15 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 2 \pm 2 ^{2} - 4 \times 2 ( - 15 )}{2 \times 2}

Simplify the expression

x = \frac{- 2 \pm 2 ^{2} - 4 \times 2 ( - 15 )}{4}

Simplify the expression

More Steps

x = \frac{- 2 \pm 124}{4}

Simplify the radical expression

More Steps

x = \frac{- 2 \pm 2 31}{4}

Separate the equation into 2 possible cases

x = \frac{- 2 + 2 31}{4} x = \frac{- 2 - 2 31}{4}

Simplify the expression

More Steps

x = \frac{- 1 + 31}{2} x = \frac{- 2 - 2 31}{4}

Simplify the expression

More Steps

x = \frac{- 1 + 31}{2} x = - \frac{1 + 31}{2}

Solution

x_{1} = - \frac{1 + 31}{2}, x_{2} = \frac{- 1 + 31}{2}

Alternative Form

x_{1} \approx - 3.283882, x_{2} \approx 2.283882

Show Solution