What are the solutions to the equation x^2+8x-21=0 ?

The solutions to the equation x^2+8x-21=0 are x=-4+sqrt(37),x=-4-sqrt(37)

Find the zeros of x^2+8x-21=0

The zeros of x^2+8x-21=0 are x=-4+sqrt(37),x=-4-sqrt(37)

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x^{2} + 8 x - 21 = 0

x = - 4 + 37, x = - 4 - 37

Decimal Notation

x = 2.08276 \dots, x = - 10.08276 \dots

Solution steps

x^{2} + 8 x - 21 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 1 \cdot ( - 21 )}{2 \cdot 1}

8^{2} - 4 \cdot 1 \cdot (- 21) = 237

x_{1, 2} = \frac{- 8 \pm 2 37}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 8 + 2 37}{2 \cdot 1}, x_{2} = \frac{- 8 - 2 37}{2 \cdot 1}

x = \frac{- 8 + 2 37}{2 \cdot 1} : - 4 + 37

x = \frac{- 8 - 2 37}{2 \cdot 1} : - 4 - 37

The solutions to the quadratic equation are:

x = - 4 + 37, x = - 4 - 37

5 x^{2} = 24

12 x^{2} + 24 x + 8 = 0

(6 - x) (x + 1) = 0

0 = 210 + 205.06 x - 4.9 x^{2}

(x - 1)^{2} - 64 = 0

What are the solutions to the equation x^2+8x-21=0 ?
The solutions to the equation x^2+8x-21=0 are x=-4+sqrt(37),x=-4-sqrt(37)
Find the zeros of x^2+8x-21=0
The zeros of x^2+8x-21=0 are x=-4+sqrt(37),x=-4-sqrt(37)