What are the solutions to the equation 2m^2-12m-17=-5 ?

The solutions to the equation 2m^2-12m-17=-5 are m=3+sqrt(15),m=3-sqrt(15)

Find the zeros of 2m^2-12m-17=-5

The zeros of 2m^2-12m-17=-5 are m=3+sqrt(15),m=3-sqrt(15)

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2 m^{2} - 12 m - 17 = - 5

m = 3 + 15, m = 3 - 15

Decimal Notation

m = 6.87298 \dots, m = - 0.87298 \dots

Solution steps

2 m^{2} - 12 m - 17 = - 5

Move

5

to the left side

2 m^{2} - 12 m - 12 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 2 ( - 12 )}{2 \cdot 2}

(- 12)^{2} - 4 \cdot 2 (- 12) = 415

m_{1, 2} = \frac{- ( - 12 ) \pm 4 15}{2 \cdot 2}

Separate the solutions

m_{1} = \frac{- ( - 12 ) + 4 15}{2 \cdot 2}, m_{2} = \frac{- ( - 12 ) - 4 15}{2 \cdot 2}

m = \frac{- ( - 12 ) + 4 15}{2 \cdot 2} : 3 + 15

m = \frac{- ( - 12 ) - 4 15}{2 \cdot 2} : 3 - 15

The solutions to the quadratic equation are:

m = 3 + 15, m = 3 - 15

x^{2} + 17 x + 16 = 0

8 - 3 x \geq 7 x - 6

- 10 > x - 6 + 3 x

\frac{2}{a + 2} - \frac{3}{2 a}

7 + 5

What are the solutions to the equation 2m^2-12m-17=-5 ?
The solutions to the equation 2m^2-12m-17=-5 are m=3+sqrt(15),m=3-sqrt(15)
Find the zeros of 2m^2-12m-17=-5
The zeros of 2m^2-12m-17=-5 are m=3+sqrt(15),m=3-sqrt(15)