What are the solutions to the equation 2x^1+5x^2=16 ?

The solutions to the equation 2x^1+5x^2=16 are x= 8/5 ,x=-2

Find the zeros of 2x^1+5x^2=16

The zeros of 2x^1+5x^2=16 are x= 8/5 ,x=-2

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2 x^{1} + 5 x^{2} = 16

x = \frac{8}{5}, x = - 2

Decimal Notation

x = 1.6, x = - 2

Solution steps

2 x^{1} + 5 x^{2} = 16

Refine

2 x + 5 x^{2} = 16

Move

16

to the left side

2 x + 5 x^{2} - 16 = 0

Write in the standard form

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

5 x^{2} + 2 x - 16 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 5 ( - 16 )}{2 \cdot 5}

2^{2} - 4 \cdot 5 (- 16) = 18

x_{1, 2} = \frac{- 2 \pm 18}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 2 + 18}{2 \cdot 5}, x_{2} = \frac{- 2 - 18}{2 \cdot 5}

x = \frac{- 2 + 18}{2 \cdot 5} : \frac{8}{5}

x = \frac{- 2 - 18}{2 \cdot 5} : - 2

The solutions to the quadratic equation are:

x = \frac{8}{5}, x = - 2

4^{8}

- 20 x y - 4 x^{2} + 4 x

x^{2} - 36 y^{2}

2.7 \cdot 6.2 - 9.3 \cdot 1.2 + 6.2 \cdot 9.3 - 1.2 \cdot 2.7

1 - e^{- \frac{1}{2}}

What are the solutions to the equation 2x^1+5x^2=16 ?
The solutions to the equation 2x^1+5x^2=16 are x= 8/5 ,x=-2
Find the zeros of 2x^1+5x^2=16
The zeros of 2x^1+5x^2=16 are x= 8/5 ,x=-2