What are the solutions to the equation 0.1x^2-30x+1760=0 ?

The solutions to the equation 0.1x^2-30x+1760=0 are x=220,x=80

Find the zeros of 0.1x^2-30x+1760=0

The zeros of 0.1x^2-30x+1760=0 are x=220,x=80

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0.1 x^{2} - 30 x + 1760 = 0

x = 220, x = 80

Solution steps

0.1 x^{2} - 30 x + 1760 = 0

Multiply both sides by

10

x^{2} - 300 x + 17600 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 300 ) \pm ( - 300 ) ^{2} - 4 \cdot 1 \cdot 17600}{2 \cdot 1}

(- 300)^{2} - 4 \cdot 1 \cdot 17600 = 140

x_{1, 2} = \frac{- ( - 300 ) \pm 140}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 300 ) + 140}{2 \cdot 1}, x_{2} = \frac{- ( - 300 ) - 140}{2 \cdot 1}

x = \frac{- ( - 300 ) + 140}{2 \cdot 1} : 220

x = \frac{- ( - 300 ) - 140}{2 \cdot 1} : 80

The solutions to the quadratic equation are:

x = 220, x = 80

1 8^{2} = 9^{2} + x^{2}

\frac{1}{2} x^{2} = 50

(2 x - 3)^{2} = 8 x

7 y - 10 = y^{2}

12 x^{2} - 280 x + 1200 = 0

What are the solutions to the equation 0.1x^2-30x+1760=0 ?
The solutions to the equation 0.1x^2-30x+1760=0 are x=220,x=80
Find the zeros of 0.1x^2-30x+1760=0
The zeros of 0.1x^2-30x+1760=0 are x=220,x=80