What are the solutions to the equation 3x^1+2x^2=54 ?

The solutions to the equation 3x^1+2x^2=54 are x= 9/2 ,x=-6

Find the zeros of 3x^1+2x^2=54

The zeros of 3x^1+2x^2=54 are x= 9/2 ,x=-6

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3 x^{1} + 2 x^{2} = 54

x = \frac{9}{2}, x = - 6

Decimal Notation

x = 4.5, x = - 6

Solution steps

3 x^{1} + 2 x^{2} = 54

Refine

3 x + 2 x^{2} = 54

Move

54

to the left side

3 x + 2 x^{2} - 54 = 0

Write in the standard form

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

2 x^{2} + 3 x - 54 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 2 ( - 54 )}{2 \cdot 2}

3^{2} - 4 \cdot 2 (- 54) = 21

x_{1, 2} = \frac{- 3 \pm 21}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 3 + 21}{2 \cdot 2}, x_{2} = \frac{- 3 - 21}{2 \cdot 2}

x = \frac{- 3 + 21}{2 \cdot 2} : \frac{9}{2}

x = \frac{- 3 - 21}{2 \cdot 2} : - 6

The solutions to the quadratic equation are:

x = \frac{9}{2}, x = - 6

- 4 + 64 x^{2} = - 3

6 x^{2} - x - 12 = 0

201 = 0.1 w^{2} + 2.155 w + 19.985

2 x^{2} - 4 = 5 x

y, y^{2} - x y = 6

What are the solutions to the equation 3x^1+2x^2=54 ?
The solutions to the equation 3x^1+2x^2=54 are x= 9/2 ,x=-6
Find the zeros of 3x^1+2x^2=54
The zeros of 3x^1+2x^2=54 are x= 9/2 ,x=-6