What are the solutions to the equation 3x^2+19x=154 ?

The solutions to the equation 3x^2+19x=154 are x= 14/3 ,x=-11

Find the zeros of 3x^2+19x=154

The zeros of 3x^2+19x=154 are x= 14/3 ,x=-11

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3 x^{2} + 19 x = 154

x = \frac{14}{3}, x = - 11

Decimal Notation

x = 4.66666 \dots, x = - 11

Solution steps

3 x^{2} + 19 x = 154

Move

154

to the left side

3 x^{2} + 19 x - 154 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 19 \pm 1 9 ^{2} - 4 \cdot 3 ( - 154 )}{2 \cdot 3}

1 9^{2} - 4 \cdot 3 (- 154) = 47

x_{1, 2} = \frac{- 19 \pm 47}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 19 + 47}{2 \cdot 3}, x_{2} = \frac{- 19 - 47}{2 \cdot 3}

x = \frac{- 19 + 47}{2 \cdot 3} : \frac{14}{3}

x = \frac{- 19 - 47}{2 \cdot 3} : - 11

The solutions to the quadratic equation are:

x = \frac{14}{3}, x = - 11

- 3 x^{2} + 6 = 10

5 x^{2} + 7 x + 2 = 0

2 ∣ x + 2 ∣ = 4

X + 3 > - 1

6 x^{2} - 6 x - 2 = 0

What are the solutions to the equation 3x^2+19x=154 ?
The solutions to the equation 3x^2+19x=154 are x= 14/3 ,x=-11
Find the zeros of 3x^2+19x=154
The zeros of 3x^2+19x=154 are x= 14/3 ,x=-11