Solve 2x^(2)-8x-10=x 8

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = 4 - 21, x_{2} = 4 + 21

Alternative Form

x_{1} \approx - 0.582576, x_{2} \approx 8.582576

Evaluate

2 x^{2} - 8 x - 10 = x \times 8

Use the commutative property to reorder the terms

2 x^{2} - 8 x - 10 = 8 x

Move the expression to the left side

2 x^{2} - 16 x - 10 = 0

Substitute a= 2,b= - 16 and c= - 10 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{16 \pm ( - 16 ) ^{2} - 4 \times 2 ( - 10 )}{2 \times 2}

Simplify the expression

x = \frac{16 \pm ( - 16 ) ^{2} - 4 \times 2 ( - 10 )}{4}

Simplify the expression

More Steps

x = \frac{16 \pm 336}{4}

Simplify the radical expression

More Steps

x = \frac{16 \pm 4 21}{4}

Separate the equation into 2 possible cases

x = \frac{16 + 4 21}{4} x = \frac{16 - 4 21}{4}

Simplify the expression

More Steps

x = 4 + 21 x = \frac{16 - 4 21}{4}

Simplify the expression

More Steps

x = 4 + 21 x = 4 - 21

Solution

x_{1} = 4 - 21, x_{2} = 4 + 21

Alternative Form

x_{1} \approx - 0.582576, x_{2} \approx 8.582576

Show Solution