What are the solutions to the equation x^2-100x+4700=0 ?

The solutions to the equation x^2-100x+4700=0 are x=50+10sqrt(22)i,x=50-10sqrt(22)i

Find the zeros of x^2-100x+4700=0

The zeros of x^2-100x+4700=0 are x=50+10sqrt(22)i,x=50-10sqrt(22)i

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x^{2} - 100 x + 4700 = 0

x = 50 + 1022 i, x = 50 - 1022 i

Solution steps

x^{2} - 100 x + 4700 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 100 ) \pm ( - 100 ) ^{2} - 4 \cdot 1 \cdot 4700}{2 \cdot 1}

Simplify

(- 100)^{2} - 4 \cdot 1 \cdot 4700 : 2022 i

x_{1, 2} = \frac{- ( - 100 ) \pm 20 22 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 100 ) + 20 22 i}{2 \cdot 1}, x_{2} = \frac{- ( - 100 ) - 20 22 i}{2 \cdot 1}

x = \frac{- ( - 100 ) + 20 22 i}{2 \cdot 1} : 50 + 1022 i

x = \frac{- ( - 100 ) - 20 22 i}{2 \cdot 1} : 50 - 1022 i

The solutions to the quadratic equation are:

x = 50 + 1022 i, x = 50 - 1022 i

(2 x + 1) (x - 7) = - 8 x

x^{2} + 6 x = 16

g^{2} + 4 g + 4 = 0

(y - 3)^{2} = 4 y - 12

x, x^{2} - 5 x - 6 = 0

What are the solutions to the equation x^2-100x+4700=0 ?
The solutions to the equation x^2-100x+4700=0 are x=50+10sqrt(22)i,x=50-10sqrt(22)i
Find the zeros of x^2-100x+4700=0
The zeros of x^2-100x+4700=0 are x=50+10sqrt(22)i,x=50-10sqrt(22)i