What are the solutions to the equation m^2-2m-13=6 ?

The solutions to the equation m^2-2m-13=6 are m=1+2sqrt(5),m=1-2sqrt(5)

Find the zeros of m^2-2m-13=6

The zeros of m^2-2m-13=6 are m=1+2sqrt(5),m=1-2sqrt(5)

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m^{2} - 2 m - 13 = 6

m = 1 + 25, m = 1 - 25

Decimal Notation

m = 5.47213 \dots, m = - 3.47213 \dots

Solution steps

m^{2} - 2 m - 13 = 6

Move

6

to the left side

m^{2} - 2 m - 19 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 1 \cdot ( - 19 )}{2 \cdot 1}

(- 2)^{2} - 4 \cdot 1 \cdot (- 19) = 45

m_{1, 2} = \frac{- ( - 2 ) \pm 4 5}{2 \cdot 1}

Separate the solutions

m_{1} = \frac{- ( - 2 ) + 4 5}{2 \cdot 1}, m_{2} = \frac{- ( - 2 ) - 4 5}{2 \cdot 1}

m = \frac{- ( - 2 ) + 4 5}{2 \cdot 1} : 1 + 25

m = \frac{- ( - 2 ) - 4 5}{2 \cdot 1} : 1 - 25

The solutions to the quadratic equation are:

m = 1 + 25, m = 1 - 25

- 4 x^{2} - 80 x + 112 = 0

10 - 3 a^{2} = - 2

x^{2} - 2 x - 3 = 0

(t + 1)^{2} + (t - 8)^{2} = 45

x, z = 2 x^{2} + 3 y^{2}

What are the solutions to the equation m^2-2m-13=6 ?
The solutions to the equation m^2-2m-13=6 are m=1+2sqrt(5),m=1-2sqrt(5)
Find the zeros of m^2-2m-13=6
The zeros of m^2-2m-13=6 are m=1+2sqrt(5),m=1-2sqrt(5)