What are the solutions to the equation m(m-1)+11m+5=0 ?

The solutions to the equation m(m-1)+11m+5=0 are m=-5+2sqrt(5),m=-5-2sqrt(5)

Find the zeros of m(m-1)+11m+5=0

The zeros of m(m-1)+11m+5=0 are m=-5+2sqrt(5),m=-5-2sqrt(5)

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m (m - 1) + 11 m + 5 = 0

m = - 5 + 25, m = - 5 - 25

Decimal Notation

m = - 0.52786 \dots, m = - 9.47213 \dots

Solution steps

m (m - 1) + 11 m + 5 = 0

Expand

m (m - 1) + 11 m + 5 : m^{2} + 10 m + 5

m^{2} + 10 m + 5 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 1 \cdot 5}{2 \cdot 1}

1 0^{2} - 4 \cdot 1 \cdot 5 = 45

m_{1, 2} = \frac{- 10 \pm 4 5}{2 \cdot 1}

Separate the solutions

m_{1} = \frac{- 10 + 4 5}{2 \cdot 1}, m_{2} = \frac{- 10 - 4 5}{2 \cdot 1}

m = \frac{- 10 + 4 5}{2 \cdot 1} : - 5 + 25

m = \frac{- 10 - 4 5}{2 \cdot 1} : - 5 - 25

The solutions to the quadratic equation are:

m = - 5 + 25, m = - 5 - 25

5 r^{2} + 27 r - 18 = 0

150000 = 200 - 20 t + 2 t^{2}

x, 1 - y x + \frac{y ^{2} x ^{2}}{2} = 0

5 x^{2} - 6 x - 11 = 0

m^{2} + 2 m + 16 = 0

What are the solutions to the equation m(m-1)+11m+5=0 ?
The solutions to the equation m(m-1)+11m+5=0 are m=-5+2sqrt(5),m=-5-2sqrt(5)
Find the zeros of m(m-1)+11m+5=0
The zeros of m(m-1)+11m+5=0 are m=-5+2sqrt(5),m=-5-2sqrt(5)