What are the solutions to the equation roots 4x^2+7mnx-15m^2n^2 ?

The solutions to the equation roots 4x^2+7mnx-15m^2n^2 are x=(5mn)/4 ,x=-3mn

Find the zeros of roots 4x^2+7mnx-15m^2n^2

The zeros of roots 4x^2+7mnx-15m^2n^2 are x=(5mn)/4 ,x=-3mn

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roots

4 x^{2} + 7 mn x - 15 m^{2} n^{2}

x = \frac{5 mn}{4}, x = - 3 mn

Solution steps

4 x^{2} + 7 mn x - 15 m^{2} n^{2}

The roots are the intercepts with the x-axis

(y = 0)

4 x^{2} + 7 mn x - 15 m^{2} n^{2} = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 7 mn \pm ( 7 mn ) ^{2} - 4 \cdot 4 ( - 15 m ^{2} n ^{2} )}{2 \cdot 4}

Simplify

(7 mn)^{2} - 4 \cdot 4 (- 15 m^{2} n^{2}) : 17 mn

x_{1, 2} = \frac{- 7 mn \pm 17 mn}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 7 mn + 17 mn}{2 \cdot 4}, x_{2} = \frac{- 7 mn - 17 mn}{2 \cdot 4}

x = \frac{- 7 mn + 17 mn}{2 \cdot 4} : \frac{5 mn}{4}

x = \frac{- 7 mn - 17 mn}{2 \cdot 4} : - 3 mn

The solutions to the quadratic equation are:

x = \frac{5 mn}{4}, x = - 3 mn

x, z = x^{2} - 3 y^{2} + 5 x y

y, 6 x^{2} y - 9 x^{2} + 23 x y - 6 x + 21 y + 80 = 0

y, x y^{2} - x^{2} + 4 = 0

x^{2} + (2 x)^{2} = 45

B^{2} - 81 = 0

What are the solutions to the equation roots 4x^2+7mnx-15m^2n^2 ?
The solutions to the equation roots 4x^2+7mnx-15m^2n^2 are x=(5mn)/4 ,x=-3mn
Find the zeros of roots 4x^2+7mnx-15m^2n^2
The zeros of roots 4x^2+7mnx-15m^2n^2 are x=(5mn)/4 ,x=-3mn