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

The solutions to the equation x^2-30-x=0 are x=6,x=-5

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

The zeros of x^2-30-x=0 are x=6,x=-5

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x^{2} - 30 - x = 0

x = 6, x = - 5

Solution steps

x^{2} - 30 - x = 0

Write in the standard form

a x^{2} + b x + c = 0

x^{2} - x - 30 = 0

Solve with the quadratic formula

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

(- 1)^{2} - 4 \cdot 1 \cdot (- 30) = 11

x_{1, 2} = \frac{- ( - 1 ) \pm 11}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 11}{2 \cdot 1}, x_{2} = \frac{- ( - 1 ) - 11}{2 \cdot 1}

x = \frac{- ( - 1 ) + 11}{2 \cdot 1} : 6

x = \frac{- ( - 1 ) - 11}{2 \cdot 1} : - 5

The solutions to the quadratic equation are:

x = 6, x = - 5

x^{4} - x^{3} - 13 x^{2} + 25 x - 12

\frac{x + 6}{x - 1} > 0

x^{4} + x^{2} - 72

3 - 49

\frac{5 !}{5 ! ( 5 - 5 ) !}

What are the solutions to the equation x^2-30-x=0 ?
The solutions to the equation x^2-30-x=0 are x=6,x=-5
Find the zeros of x^2-30-x=0
The zeros of x^2-30-x=0 are x=6,x=-5