What are the solutions to the equation x^2-7x+30=0 ?

The solutions to the equation x^2-7x+30=0 are x= 7/2+i(sqrt(71))/2 ,x= 7/2-i(sqrt(71))/2

Find the zeros of x^2-7x+30=0

The zeros of x^2-7x+30=0 are x= 7/2+i(sqrt(71))/2 ,x= 7/2-i(sqrt(71))/2

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x^{2} - 7 x + 30 = 0

x = \frac{7}{2} + i \frac{71}{2}, x = \frac{7}{2} - i \frac{71}{2}

Solution steps

x^{2} - 7 x + 30 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 1 \cdot 30}{2 \cdot 1}

Simplify

(- 7)^{2} - 4 \cdot 1 \cdot 30 : 71 i

x_{1, 2} = \frac{- ( - 7 ) \pm 71 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 71 i}{2 \cdot 1}, x_{2} = \frac{- ( - 7 ) - 71 i}{2 \cdot 1}

x = \frac{- ( - 7 ) + 71 i}{2 \cdot 1} : \frac{7}{2} + i \frac{71}{2}

x = \frac{- ( - 7 ) - 71 i}{2 \cdot 1} : \frac{7}{2} - i \frac{71}{2}

The solutions to the quadratic equation are:

x = \frac{7}{2} + i \frac{71}{2}, x = \frac{7}{2} - i \frac{71}{2}

x (x - 2) + x - 2 = 0

x^{2} - 2 x + 13 = 0

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

5 x^{2} + 20 x + 16 = 0

x^{2} - (3 + 5) x + 4 = 0

What are the solutions to the equation x^2-7x+30=0 ?
The solutions to the equation x^2-7x+30=0 are x= 7/2+i(sqrt(71))/2 ,x= 7/2-i(sqrt(71))/2
Find the zeros of x^2-7x+30=0
The zeros of x^2-7x+30=0 are x= 7/2+i(sqrt(71))/2 ,x= 7/2-i(sqrt(71))/2