Solve (x^2)-10x 100=69

Evaluate

x^{2} - 10 x \times 100 = 69

Multiply the terms

x^{2} - 1000 x = 69

Move the expression to the left side

x^{2} - 1000 x - 69 = 0

Substitute a= 1,b= - 1000 and c= - 69 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{1000 \pm ( - 1000 ) ^{2} - 4 ( - 69 )}{2}

Simplify the expression

More Steps

x = \frac{1000 \pm 100 0 ^{2} + 276}{2}

Simplify the radical expression

x = \frac{1000 \pm 2 50 0 ^{2} + 69}{2}

Separate the equation into 2 possible cases

x = \frac{1000 + 2 50 0 ^{2} + 69}{2} x = \frac{1000 - 2 50 0 ^{2} + 69}{2}

Simplify the expression

More Steps

x = 500 + 50 0^{2} + 69 x = \frac{1000 - 2 50 0 ^{2} + 69}{2}

Simplify the expression

More Steps

x = 500 + 50 0^{2} + 69 x = 500 - 50 0^{2} + 69

Solution

x_{1} = 500 - 50 0^{2} + 69, x_{2} = 500 + 50 0^{2} + 69

Alternative Form

x_{1} \approx - 0.068995, x_{2} \approx 1000.068995

Solve the quadratic equation