What are the solutions to the equation 4m^2-6m-14=10 ?

The solutions to the equation 4m^2-6m-14=10 are m=(3+sqrt(105))/4 ,m=(3-sqrt(105))/4

Find the zeros of 4m^2-6m-14=10

The zeros of 4m^2-6m-14=10 are m=(3+sqrt(105))/4 ,m=(3-sqrt(105))/4

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4 m^{2} - 6 m - 14 = 10

m = \frac{3 + 105}{4}, m = \frac{3 - 105}{4}

Decimal Notation

m = 3.31173 \dots, m = - 1.81173 \dots

Solution steps

4 m^{2} - 6 m - 14 = 10

Move

10

to the left side

4 m^{2} - 6 m - 24 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 4 ( - 24 )}{2 \cdot 4}

(- 6)^{2} - 4 \cdot 4 (- 24) = 2105

m_{1, 2} = \frac{- ( - 6 ) \pm 2 105}{2 \cdot 4}

Separate the solutions

m_{1} = \frac{- ( - 6 ) + 2 105}{2 \cdot 4}, m_{2} = \frac{- ( - 6 ) - 2 105}{2 \cdot 4}

m = \frac{- ( - 6 ) + 2 105}{2 \cdot 4} : \frac{3 + 105}{4}

m = \frac{- ( - 6 ) - 2 105}{2 \cdot 4} : \frac{3 - 105}{4}

The solutions to the quadratic equation are:

m = \frac{3 + 105}{4}, m = \frac{3 - 105}{4}

x, f = x^{2} - 8 x + m

5 x^{2} - 8 x - 1 = 0

x^{2} - 160 x + 3200 = 0

12 x^{2} = 6 x

x^{2} - 4 x + 9 = 14

What are the solutions to the equation 4m^2-6m-14=10 ?
The solutions to the equation 4m^2-6m-14=10 are m=(3+sqrt(105))/4 ,m=(3-sqrt(105))/4
Find the zeros of 4m^2-6m-14=10
The zeros of 4m^2-6m-14=10 are m=(3+sqrt(105))/4 ,m=(3-sqrt(105))/4