What are the solutions to the equation 3x^1+6x^2=9,-2x^1+3x^2=4 ?

The solutions to the equation 3x^1+6x^2=9,-2x^1+3x^2=4 are x=1,x=-3/2

Find the zeros of 3x^1+6x^2=9,-2x^1+3x^2=4

The zeros of 3x^1+6x^2=9,-2x^1+3x^2=4 are x=1,x=-3/2

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3 x^{1} + 6 x^{2} = 9, - 2 x^{1} + 3 x^{2} = 4

x = 1, x = - \frac{3}{2}

Solution steps

3 x^{1} + 6 x^{2} = 9

Refine

3 x + 6 x^{2} = 9

Move

9

to the left side

3 x + 6 x^{2} - 9 = 0

Write in the standard form

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

6 x^{2} + 3 x - 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 6 ( - 9 )}{2 \cdot 6}

3^{2} - 4 \cdot 6 (- 9) = 15

x_{1, 2} = \frac{- 3 \pm 15}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 3 + 15}{2 \cdot 6}, x_{2} = \frac{- 3 - 15}{2 \cdot 6}

x = \frac{- 3 + 15}{2 \cdot 6} : 1

x = \frac{- 3 - 15}{2 \cdot 6} : - \frac{3}{2}

The solutions to the quadratic equation are:

x = 1, x = - \frac{3}{2}

\frac{x ^{2} - x}{2} - \frac{( x - 4 ) ^{2}}{3} = 0

- 0.45 x^{2} + 5.52 x - 13.7 = 0

x, z = 4 (x - y) - x^{2} - y^{2}

20 x^{2} - 27 x - 14 = 0

4 y^{2} + 20 y = 0

What are the solutions to the equation 3x^1+6x^2=9,-2x^1+3x^2=4 ?
The solutions to the equation 3x^1+6x^2=9,-2x^1+3x^2=4 are x=1,x=-3/2
Find the zeros of 3x^1+6x^2=9,-2x^1+3x^2=4
The zeros of 3x^1+6x^2=9,-2x^1+3x^2=4 are x=1,x=-3/2