Solve 3(x^2)-2(x-1)=x 10

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = \frac{6 - 30}{3}, x_{2} = \frac{6 + 30}{3}

Alternative Form

x_{1} \approx 0.174258, x_{2} \approx 3.825742

Evaluate

3 x^{2} - 2 (x - 1) = x \times 10

Use the commutative property to reorder the terms

3 x^{2} - 2 (x - 1) = 10 x

Expand the expression

More Steps

3 x^{2} - 2 x + 2 = 10 x

Move the expression to the left side

3 x^{2} - 12 x + 2 = 0

Substitute a= 3,b= - 12 and c= 2 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{12 \pm ( - 12 ) ^{2} - 4 \times 3 \times 2}{2 \times 3}

Simplify the expression

x = \frac{12 \pm ( - 12 ) ^{2} - 4 \times 3 \times 2}{6}

Simplify the expression

More Steps

x = \frac{12 \pm 120}{6}

Simplify the radical expression

More Steps

x = \frac{12 \pm 2 30}{6}

Separate the equation into 2 possible cases

x = \frac{12 + 2 30}{6} x = \frac{12 - 2 30}{6}

Simplify the expression

More Steps

x = \frac{6 + 30}{3} x = \frac{12 - 2 30}{6}

Simplify the expression

More Steps

x = \frac{6 + 30}{3} x = \frac{6 - 30}{3}

Solution

x_{1} = \frac{6 - 30}{3}, x_{2} = \frac{6 + 30}{3}

Alternative Form

x_{1} \approx 0.174258, x_{2} \approx 3.825742

Show Solution