What are the solutions to the equation m^2-14m-239=0 ?

The solutions to the equation m^2-14m-239=0 are m=7+12sqrt(2),m=7-12sqrt(2)

Find the zeros of m^2-14m-239=0

The zeros of m^2-14m-239=0 are m=7+12sqrt(2),m=7-12sqrt(2)

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m^{2} - 14 m - 239 = 0

m = 7 + 122, m = 7 - 122

Decimal Notation

m = 23.97056 \dots, m = - 9.97056 \dots

Solution steps

m^{2} - 14 m - 239 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 1 \cdot ( - 239 )}{2 \cdot 1}

(- 14)^{2} - 4 \cdot 1 \cdot (- 239) = 242

m_{1, 2} = \frac{- ( - 14 ) \pm 24 2}{2 \cdot 1}

Separate the solutions

m_{1} = \frac{- ( - 14 ) + 24 2}{2 \cdot 1}, m_{2} = \frac{- ( - 14 ) - 24 2}{2 \cdot 1}

m = \frac{- ( - 14 ) + 24 2}{2 \cdot 1} : 7 + 122

m = \frac{- ( - 14 ) - 24 2}{2 \cdot 1} : 7 - 122

The solutions to the quadratic equation are:

m = 7 + 122, m = 7 - 122

\frac{x ^{2}}{4} + \frac{3 x}{2} + 2 = 0

4 x^{2} + 6 x + 7 = 0

x^{2} + 100 = 20 x

x^{2} - 7 x + 29 = 3 x + 4

(x - 5)^{2} + 7 (x - 5) + 10 = 0

What are the solutions to the equation m^2-14m-239=0 ?
The solutions to the equation m^2-14m-239=0 are m=7+12sqrt(2),m=7-12sqrt(2)
Find the zeros of m^2-14m-239=0
The zeros of m^2-14m-239=0 are m=7+12sqrt(2),m=7-12sqrt(2)