What are the solutions to the equation roots 2m^2-5m-3 ?

The solutions to the equation roots 2m^2-5m-3 are m=3,m=-1/2

Find the zeros of roots 2m^2-5m-3

The zeros of roots 2m^2-5m-3 are m=3,m=-1/2

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roots

2 m^{2} - 5 m - 3

m = 3, m = - \frac{1}{2}

Solution steps

2 m^{2} - 5 m - 3

The roots are the intercepts with the x-axis

(y = 0)

2 m^{2} - 5 m - 3 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 2 ( - 3 )}{2 \cdot 2}

(- 5)^{2} - 4 \cdot 2 (- 3) = 7

m_{1, 2} = \frac{- ( - 5 ) \pm 7}{2 \cdot 2}

Separate the solutions

m_{1} = \frac{- ( - 5 ) + 7}{2 \cdot 2}, m_{2} = \frac{- ( - 5 ) - 7}{2 \cdot 2}

m = \frac{- ( - 5 ) + 7}{2 \cdot 2} : 3

m = \frac{- ( - 5 ) - 7}{2 \cdot 2} : - \frac{1}{2}

The solutions to the quadratic equation are:

m = 3, m = - \frac{1}{2}

0 = x^{2} - 3 x - 9

2 + 24.5 t - 4.9 t^{2} = 0

4 x = 3 x^{2} - 7 x + 9

8 x^{2} - 17 x = 4 x^{2} + 13 x

(x) = x^{2} - 4 x + 3

What are the solutions to the equation roots 2m^2-5m-3 ?
The solutions to the equation roots 2m^2-5m-3 are m=3,m=-1/2
Find the zeros of roots 2m^2-5m-3
The zeros of roots 2m^2-5m-3 are m=3,m=-1/2