What are the solutions to the equation x^2-6x-21=0 ?

The solutions to the equation x^2-6x-21=0 are x=3+sqrt(30),x=3-sqrt(30)

Find the zeros of x^2-6x-21=0

The zeros of x^2-6x-21=0 are x=3+sqrt(30),x=3-sqrt(30)

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x^{2} - 6 x - 21 = 0

x = 3 + 30, x = 3 - 30

Decimal Notation

x = 8.47722 \dots, x = - 2.47722 \dots

Solution steps

x^{2} - 6 x - 21 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 21 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 21) = 230

x_{1, 2} = \frac{- ( - 6 ) \pm 2 30}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 2 30}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 2 30}{2 \cdot 1}

x = \frac{- ( - 6 ) + 2 30}{2 \cdot 1} : 3 + 30

x = \frac{- ( - 6 ) - 2 30}{2 \cdot 1} : 3 - 30

The solutions to the quadratic equation are:

x = 3 + 30, x = 3 - 30

\frac{x}{x - 5} < 0

p^{2} + 2 pq - 15 q^{2}

- \frac{1}{2} + \frac{5}{8}

3 (x + 4)^{2} = - 27

- (x + 5) - 6 x \leq 2 x - 5

What are the solutions to the equation x^2-6x-21=0 ?
The solutions to the equation x^2-6x-21=0 are x=3+sqrt(30),x=3-sqrt(30)
Find the zeros of x^2-6x-21=0
The zeros of x^2-6x-21=0 are x=3+sqrt(30),x=3-sqrt(30)