What are the solutions to the equation 4z+3z^2=15 ?

The solutions to the equation 4z+3z^2=15 are z= 5/3 ,z=-3

Find the zeros of 4z+3z^2=15

The zeros of 4z+3z^2=15 are z= 5/3 ,z=-3

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4 z + 3 z^{2} = 15

z = \frac{5}{3}, z = - 3

Solution steps

4 z + 3 z^{2} = 15

Move

15

to the left side

4 z + 3 z^{2} - 15 = 0

Write in the standard form

a x^{2} + b x + c = 0

3 z^{2} + 4 z - 15 = 0

Solve with the quadratic formula

z_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 \cdot 3 ( - 15 )}{2 \cdot 3}

4^{2} - 4 \cdot 3 (- 15) = 14

z_{1, 2} = \frac{- 4 \pm 14}{2 \cdot 3}

Separate the solutions

z_{1} = \frac{- 4 + 14}{2 \cdot 3}, z_{2} = \frac{- 4 - 14}{2 \cdot 3}

z = \frac{- 4 + 14}{2 \cdot 3} : \frac{5}{3}

z = \frac{- 4 - 14}{2 \cdot 3} : - 3

The solutions to the quadratic equation are:

z = \frac{5}{3}, z = - 3

6 w^{2} - 28 w + 16

∣ 4 - 3 x ∣ \leq 13

2 A - 2 = 7 + 2 A

x^{2} - 3 x - 40 = 0

\frac{( \frac{2}{5} ) ^{3} ( \frac{2}{5} ) ^{2}}{( \frac{2}{5} ) ^{4}}

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