What are the solutions to the equation x^2-15x+75=0 ?

The solutions to the equation x^2-15x+75=0 are x= 15/2+i(5sqrt(3))/2 ,x= 15/2-i(5sqrt(3))/2

Find the zeros of x^2-15x+75=0

The zeros of x^2-15x+75=0 are x= 15/2+i(5sqrt(3))/2 ,x= 15/2-i(5sqrt(3))/2

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x^{2} - 15 x + 75 = 0

x = \frac{15}{2} + i \frac{5 3}{2}, x = \frac{15}{2} - i \frac{5 3}{2}

Solution steps

x^{2} - 15 x + 75 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 15 ) \pm ( - 15 ) ^{2} - 4 \cdot 1 \cdot 75}{2 \cdot 1}

Simplify

(- 15)^{2} - 4 \cdot 1 \cdot 75 : 53 i

x_{1, 2} = \frac{- ( - 15 ) \pm 5 3 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 15 ) + 5 3 i}{2 \cdot 1}, x_{2} = \frac{- ( - 15 ) - 5 3 i}{2 \cdot 1}

x = \frac{- ( - 15 ) + 5 3 i}{2 \cdot 1} : \frac{15}{2} + i \frac{5 3}{2}

x = \frac{- ( - 15 ) - 5 3 i}{2 \cdot 1} : \frac{15}{2} - i \frac{5 3}{2}

The solutions to the quadratic equation are:

x = \frac{15}{2} + i \frac{5 3}{2}, x = \frac{15}{2} - i \frac{5 3}{2}

∣ x - 4 ∣ = ∣ 2 x + 3 ∣

\frac{4}{3} + 1

- 9 a^{2} - 12 ab + 15 a^{3} b^{2} - 24 a b^{3}

5 x^{2} + 45 x - 50

(\frac{1}{8})^{- \frac{2}{3}}

What are the solutions to the equation x^2-15x+75=0 ?
The solutions to the equation x^2-15x+75=0 are x= 15/2+i(5sqrt(3))/2 ,x= 15/2-i(5sqrt(3))/2
Find the zeros of x^2-15x+75=0
The zeros of x^2-15x+75=0 are x= 15/2+i(5sqrt(3))/2 ,x= 15/2-i(5sqrt(3))/2