What are the solutions to the equation -12n^2-11n=-15 ?

The solutions to the equation -12n^2-11n=-15 are n=-5/3 ,n= 3/4

Find the zeros of -12n^2-11n=-15

The zeros of -12n^2-11n=-15 are n=-5/3 ,n= 3/4

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- 12 n^{2} - 11 n = - 15

n = - \frac{5}{3}, n = \frac{3}{4}

Decimal Notation

n = - 1.66666 \dots, n = 0.75

Solution steps

- 12 n^{2} - 11 n = - 15

Move

15

to the left side

- 12 n^{2} - 11 n + 15 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 ( - 12 ) \cdot 15}{2 ( - 12 )}

(- 11)^{2} - 4 (- 12) \cdot 15 = 29

n_{1, 2} = \frac{- ( - 11 ) \pm 29}{2 ( - 12 )}

Separate the solutions

n_{1} = \frac{- ( - 11 ) + 29}{2 ( - 12 )}, n_{2} = \frac{- ( - 11 ) - 29}{2 ( - 12 )}

n = \frac{- ( - 11 ) + 29}{2 ( - 12 )} : - \frac{5}{3}

n = \frac{- ( - 11 ) - 29}{2 ( - 12 )} : \frac{3}{4}

The solutions to the quadratic equation are:

n = - \frac{5}{3}, n = \frac{3}{4}

∣ x - 2 ∣ < 4

2 x^{2} - 4 x + 5 = 3

30 x - (- x + 6) + (- 5 x + 4) = - (5 x + 6) + (- 8 + 3 x)

\frac{a - \frac{a}{b}}{b - \frac{b}{a}}

What are the solutions to the equation -12n^2-11n=-15 ?
The solutions to the equation -12n^2-11n=-15 are n=-5/3 ,n= 3/4
Find the zeros of -12n^2-11n=-15
The zeros of -12n^2-11n=-15 are n=-5/3 ,n= 3/4