What are the solutions to the equation 8x^2-2x-18=15 ?

The solutions to the equation 8x^2-2x-18=15 are x=(1+sqrt(265))/8 ,x=(1-sqrt(265))/8

Find the zeros of 8x^2-2x-18=15

The zeros of 8x^2-2x-18=15 are x=(1+sqrt(265))/8 ,x=(1-sqrt(265))/8

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8 x^{2} - 2 x - 18 = 15

x = \frac{1 + 265}{8}, x = \frac{1 - 265}{8}

Decimal Notation

x = 2.15985 \dots, x = - 1.90985 \dots

Solution steps

8 x^{2} - 2 x - 18 = 15

Move

15

to the left side

8 x^{2} - 2 x - 33 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 8 ( - 33 )}{2 \cdot 8}

(- 2)^{2} - 4 \cdot 8 (- 33) = 2265

x_{1, 2} = \frac{- ( - 2 ) \pm 2 265}{2 \cdot 8}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 2 265}{2 \cdot 8}, x_{2} = \frac{- ( - 2 ) - 2 265}{2 \cdot 8}

x = \frac{- ( - 2 ) + 2 265}{2 \cdot 8} : \frac{1 + 265}{8}

x = \frac{- ( - 2 ) - 2 265}{2 \cdot 8} : \frac{1 - 265}{8}

The solutions to the quadratic equation are:

x = \frac{1 + 265}{8}, x = \frac{1 - 265}{8}

100 \cdot 0.05 5^{2} = 0.0038 \cdot x^{2}

(3 x - 2) (x + 4) + (3 x - 2) (x - 1)

2 x^{2} + 10 x - 600 = 0

6 x^{2} - 30 x - 84 = 0

\frac{π}{4} - \frac{3 π}{4}

What are the solutions to the equation 8x^2-2x-18=15 ?
The solutions to the equation 8x^2-2x-18=15 are x=(1+sqrt(265))/8 ,x=(1-sqrt(265))/8
Find the zeros of 8x^2-2x-18=15
The zeros of 8x^2-2x-18=15 are x=(1+sqrt(265))/8 ,x=(1-sqrt(265))/8