What are the solutions to the equation A*(A+0.2)=2.82 ?

The solutions to the equation A*(A+0.2)=2.82 are A=(-0.2+sqrt(11.32))/2 ,A=(-0.2-sqrt(11.32))/2

Find the zeros of A*(A+0.2)=2.82

The zeros of A*(A+0.2)=2.82 are A=(-0.2+sqrt(11.32))/2 ,A=(-0.2-sqrt(11.32))/2

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A \cdot (A + 0.2) = 2.82

A = \frac{- 0.2 + 11.32}{2}, A = \frac{- 0.2 - 11.32}{2}

Decimal Notation

A = 1.58226 \dots, A = - 1.78226 \dots

Solution steps

A (A + 0.2) = 2.82

Expand

A (A + 0.2) : A^{2} + 0.2 A

A^{2} + 0.2 A = 2.82

Move

2.82

to the left side

A^{2} + 0.2 A - 2.82 = 0

Solve with the quadratic formula

A_{1, 2} = \frac{- 0.2 \pm 0. 2 ^{2} - 4 \cdot 1 \cdot ( - 2.82 )}{2 \cdot 1}

0. 2^{2} - 4 \cdot 1 \cdot (- 2.82) = 11.32

A_{1, 2} = \frac{- 0.2 \pm 11.32}{2 \cdot 1}

Separate the solutions

A_{1} = \frac{- 0.2 + 11.32}{2 \cdot 1}, A_{2} = \frac{- 0.2 - 11.32}{2 \cdot 1}

A = \frac{- 0.2 + 11.32}{2 \cdot 1} : \frac{- 0.2 + 11.32}{2}

A = \frac{- 0.2 - 11.32}{2 \cdot 1} : \frac{- 0.2 - 11.32}{2}

The solutions to the quadratic equation are:

A = \frac{- 0.2 + 11.32}{2}, A = \frac{- 0.2 - 11.32}{2}

j (x) = (x - 1)^{2} - 1

3 x^{2} + \frac{1}{3} = 2 x

x^{2} + 15 x = 5 x

x^{2} - 2 x = 19

x^{2} - 2 x = 27

What are the solutions to the equation A*(A+0.2)=2.82 ?
The solutions to the equation A*(A+0.2)=2.82 are A=(-0.2+sqrt(11.32))/2 ,A=(-0.2-sqrt(11.32))/2
Find the zeros of A*(A+0.2)=2.82
The zeros of A*(A+0.2)=2.82 are A=(-0.2+sqrt(11.32))/2 ,A=(-0.2-sqrt(11.32))/2