What are the solutions to the equation 1-0.8x+0.15x^2=0 ?

The solutions to the equation 1-0.8x+0.15x^2=0 are x= 10/3 ,x=2

Find the zeros of 1-0.8x+0.15x^2=0

The zeros of 1-0.8x+0.15x^2=0 are x= 10/3 ,x=2

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1 - 0.8 x + 0.15 x^{2} = 0

x = \frac{10}{3}, x = 2

Decimal Notation

x = 3.33333 \dots, x = 2

Solution steps

1 - 0.8 x + 0.15 x^{2} = 0

Multiply both sides by

100

100 - 80 x + 15 x^{2} = 0

Write in the standard form

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

15 x^{2} - 80 x + 100 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 80 ) \pm ( - 80 ) ^{2} - 4 \cdot 15 \cdot 100}{2 \cdot 15}

(- 80)^{2} - 4 \cdot 15 \cdot 100 = 20

x_{1, 2} = \frac{- ( - 80 ) \pm 20}{2 \cdot 15}

Separate the solutions

x_{1} = \frac{- ( - 80 ) + 20}{2 \cdot 15}, x_{2} = \frac{- ( - 80 ) - 20}{2 \cdot 15}

x = \frac{- ( - 80 ) + 20}{2 \cdot 15} : \frac{10}{3}

x = \frac{- ( - 80 ) - 20}{2 \cdot 15} : 2

The solutions to the quadratic equation are:

x = \frac{10}{3}, x = 2

18 = 2 + (y - 6)^{2}

9 x^{2} - 18 x - 27

24 \cdot 4

\frac{x ^{17} \cdot 1}{x ^{4} y ^{2}}

\frac{36 x ^{- 4} y ^{8}}{12 y ^{7}}

What are the solutions to the equation 1-0.8x+0.15x^2=0 ?
The solutions to the equation 1-0.8x+0.15x^2=0 are x= 10/3 ,x=2
Find the zeros of 1-0.8x+0.15x^2=0
The zeros of 1-0.8x+0.15x^2=0 are x= 10/3 ,x=2