Solve 8x 10x-1010x 8=180

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = \frac{101 - 10210}{2}, x_{2} = \frac{101 + 10210}{2}

Alternative Form

x_{1} \approx - 0.022272, x_{2} \approx 101.022272

Evaluate

8 x \times 10 x - 1010 x \times 8 = 180

Simplify

More Steps

80 x^{2} - 8080 x = 180

Move the expression to the left side

80 x^{2} - 8080 x - 180 = 0

Substitute a= 80,b= - 8080 and c= - 180 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{8080 \pm ( - 8080 ) ^{2} - 4 \times 80 ( - 180 )}{2 \times 80}

Simplify the expression

x = \frac{8080 \pm ( - 8080 ) ^{2} - 4 \times 80 ( - 180 )}{160}

Simplify the expression

More Steps

x = \frac{8080 \pm 808 0 ^{2} + 57600}{160}

Simplify the radical expression

More Steps

x = \frac{8080 \pm 80 10210}{160}

Separate the equation into 2 possible cases

x = \frac{8080 + 80 10210}{160} x = \frac{8080 - 80 10210}{160}

Simplify the expression

More Steps

x = \frac{101 + 10210}{2} x = \frac{8080 - 80 10210}{160}

Simplify the expression

More Steps

x = \frac{101 + 10210}{2} x = \frac{101 - 10210}{2}

Solution

x_{1} = \frac{101 - 10210}{2}, x_{2} = \frac{101 + 10210}{2}

Alternative Form

x_{1} \approx - 0.022272, x_{2} \approx 101.022272

Show Solution