What are the solutions to the equation 10x^2-1500x+180000=0 ?

The solutions to the equation 10x^2-1500x+180000=0 are x=75+15sqrt(55)i,x=75-15sqrt(55)i

Find the zeros of 10x^2-1500x+180000=0

The zeros of 10x^2-1500x+180000=0 are x=75+15sqrt(55)i,x=75-15sqrt(55)i

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10 x^{2} - 1500 x + 180000 = 0

x = 75 + 1555 i, x = 75 - 1555 i

Solution steps

10 x^{2} - 1500 x + 180000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1500 ) \pm ( - 1500 ) ^{2} - 4 \cdot 10 \cdot 180000}{2 \cdot 10}

Simplify

(- 1500)^{2} - 4 \cdot 10 \cdot 180000 : 30055 i

x_{1, 2} = \frac{- ( - 1500 ) \pm 300 55 i}{2 \cdot 10}

Separate the solutions

x_{1} = \frac{- ( - 1500 ) + 300 55 i}{2 \cdot 10}, x_{2} = \frac{- ( - 1500 ) - 300 55 i}{2 \cdot 10}

x = \frac{- ( - 1500 ) + 300 55 i}{2 \cdot 10} : 75 + 1555 i

x = \frac{- ( - 1500 ) - 300 55 i}{2 \cdot 10} : 75 - 1555 i

The solutions to the quadratic equation are:

x = 75 + 1555 i, x = 75 - 1555 i

(4 r - 4)^{2} = 36

x (3 x + 7) = 6

x, f = 2 k x^{2} - 4 k x + 1

\frac{1}{3} x^{2} + 5 x + 18 = 0

2 n^{2} - 18 n = - 40

What are the solutions to the equation 10x^2-1500x+180000=0 ?
The solutions to the equation 10x^2-1500x+180000=0 are x=75+15sqrt(55)i,x=75-15sqrt(55)i
Find the zeros of 10x^2-1500x+180000=0
The zeros of 10x^2-1500x+180000=0 are x=75+15sqrt(55)i,x=75-15sqrt(55)i