Solve 2(x^2+3x) + (x^2-1)

Question

Simplify the expression

Solution

3 x^{2} + 6 x - 1

Show Solution

Find the roots of the algebra expression

x_{1} = - \frac{3 + 2 3}{3}, x_{2} = \frac{- 3 + 2 3}{3}

Alternative Form

x_{1} \approx - 2.154701, x_{2} \approx 0.154701

Evaluate

2 (x^{2} + 3 x) + (x^{2} - 1)

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

2 (x^{2} + 3 x) + (x^{2} - 1) = 0

Remove the parentheses

2 (x^{2} + 3 x) + x^{2} - 1 = 0

Calculate the sum or difference

More Steps

3 x^{2} + 6 x - 1 = 0

Substitute a= 3,b= 6 and c= - 1 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 6 \pm 6 ^{2} - 4 \times 3 ( - 1 )}{2 \times 3}

Simplify the expression

x = \frac{- 6 \pm 6 ^{2} - 4 \times 3 ( - 1 )}{6}

Simplify the expression

More Steps

x = \frac{- 6 \pm 48}{6}

Simplify the radical expression

More Steps

x = \frac{- 6 \pm 4 3}{6}

Separate the equation into 2 possible cases

x = \frac{- 6 + 4 3}{6} x = \frac{- 6 - 4 3}{6}

Simplify the expression

More Steps

x = \frac{- 3 + 2 3}{3} x = \frac{- 6 - 4 3}{6}

Simplify the expression

More Steps

x = \frac{- 3 + 2 3}{3} x = - \frac{3 + 2 3}{3}

Solution

x_{1} = - \frac{3 + 2 3}{3}, x_{2} = \frac{- 3 + 2 3}{3}

Alternative Form

x_{1} \approx - 2.154701, x_{2} \approx 0.154701

Show Solution