Solve 6x^2 -6x -30

Question

Factor the expression

6 (x^{2} - x - 5)

Show Solution

x_{1} = \frac{1 - 21}{2}, x_{2} = \frac{1 + 21}{2}

Alternative Form

x_{1} \approx - 1.791288, x_{2} \approx 2.791288

Evaluate

6 x^{2} - 6 x - 30

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

6 x^{2} - 6 x - 30 = 0

Substitute a= 6,b= - 6 and c= - 30 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{6 \pm ( - 6 ) ^{2} - 4 \times 6 ( - 30 )}{2 \times 6}

Simplify the expression

x = \frac{6 \pm ( - 6 ) ^{2} - 4 \times 6 ( - 30 )}{12}

Simplify the expression

More Steps

x = \frac{6 \pm 756}{12}

Simplify the radical expression

More Steps

x = \frac{6 \pm 6 21}{12}

Separate the equation into 2 possible cases

x = \frac{6 + 6 21}{12} x = \frac{6 - 6 21}{12}

Simplify the expression

More Steps

x = \frac{1 + 21}{2} x = \frac{6 - 6 21}{12}

Simplify the expression

More Steps

x = \frac{1 + 21}{2} x = \frac{1 - 21}{2}

Solution

x_{1} = \frac{1 - 21}{2}, x_{2} = \frac{1 + 21}{2}

Alternative Form

x_{1} \approx - 1.791288, x_{2} \approx 2.791288

Show Solution