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# Algebra + Exponents cheat sheet !

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Intern
Joined: 17 Jan 2018
Posts: 3
Algebra + Exponents cheat sheet !  [#permalink]

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08 Oct 2018, 18:20
7

Algebra

For a quadratic equation $$ax^2 +bx +c =0$$

a= coefficient of $$x^2$$
b= coefficient of x
c= constant value of the equation

x = $$\frac{-b ∓ \sqrt{b^{2}- 4ac}}{2a}$$

Let the two roots of the equation be $$\alpha$$ & $$\beta$$ then ,

$$\alpha$$ + $$\beta$$ = $$\frac{-b}{a}$$

$$\alpha*\beta$$ = $$\frac{c}{a}$$

Exponents

$$0^{n}$$ = 0

$$1^{n}$$ = 1

$$x^{0}$$ = 1

$$x^{1}$$ = x

$$x^{-n}$$ = $$\frac{1}{x}$$

$$x^{m}*x^{n}$$ = $$x^{m+n}$$

$$\frac{x^{m}}{x^{n}}$$ = $$x^{m-n}$$

$$(x^{m})^{n}$$ = $$x^{m*n}$$

$$(\frac{x}{y})^{n}$$ = $$\frac{x^{n}}{y^{n}}$$
Senior Manager
Joined: 18 Jun 2018
Posts: 263
Re: Algebra + Exponents cheat sheet !  [#permalink]

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11 Oct 2018, 03:50
chirayuvyas97

Thanks for sharing.
Director
Joined: 14 Dec 2017
Posts: 522
Location: India
Re: Algebra + Exponents cheat sheet !  [#permalink]

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11 Oct 2018, 20:02
Thanks!! Looks good, keep up the good work.

Cheers,
GyM
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Re: Algebra + Exponents cheat sheet !   [#permalink] 11 Oct 2018, 20:02
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