What are the solutions to the equation 4n^2+5n-6=0 ?

The solutions to the equation 4n^2+5n-6=0 are n= 3/4 ,n=-2

Find the zeros of 4n^2+5n-6=0

The zeros of 4n^2+5n-6=0 are n= 3/4 ,n=-2

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4 n^{2} + 5 n - 6 = 0

n = \frac{3}{4}, n = - 2

Decimal Notation

n = 0.75, n = - 2

Solution steps

4 n^{2} + 5 n - 6 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 4 ( - 6 )}{2 \cdot 4}

5^{2} - 4 \cdot 4 (- 6) = 11

n_{1, 2} = \frac{- 5 \pm 11}{2 \cdot 4}

Separate the solutions

n_{1} = \frac{- 5 + 11}{2 \cdot 4}, n_{2} = \frac{- 5 - 11}{2 \cdot 4}

n = \frac{- 5 + 11}{2 \cdot 4} : \frac{3}{4}

n = \frac{- 5 - 11}{2 \cdot 4} : - 2

The solutions to the quadratic equation are:

n = \frac{3}{4}, n = - 2

4 x^{2} - 12 x + 25

x^{2} + 7 x - 12 = 0

2 x^{2} - x + 8 = 16

x, y x^{2} - 5 y - x = 0

R, x^{2} + y^{2} = R^{2}

What are the solutions to the equation 4n^2+5n-6=0 ?
The solutions to the equation 4n^2+5n-6=0 are n= 3/4 ,n=-2
Find the zeros of 4n^2+5n-6=0
The zeros of 4n^2+5n-6=0 are n= 3/4 ,n=-2