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Solving equations

 

To solve equations, always set y=0, anf find "x".

Let's try an example!

3x+5=0

  • Subtract 5 on both sides.

  • 3x=(-5).

  • Isolate "x" by dividing 3 on both sides.

  • x=(-5)/3

 

Let's try one in factored form!

0=(x+3) (3x+4)

  • Set each bracket equal to 0.

  • 0=(x+3) and 0=(3x+4).

  • 0=x+3 and 0=3x+4.

  • 0=x+3.

  • Subtract 3 on both sides.

  • x=(-3).

  • 0=3x+4

  • Subtract 4 on both sides.

  • -4=3x

  • Divide 3 on both sides.

  • x=(-4)/3

 

 

Useful site to get more information and practice-http://www.purplemath.com/modules/solvquad.htm

 

 

 

Try these...

1) x(x+2)=0

2) x^2+5x+6=0

3) 4c^2-9=0

4) m^2+5m=0

 

 

Answers are...

 

 

 

 

 

1) x=0 and x=(-2).

2) x=(-2) and x=(-3)

3) c=3/2 and c=(-3)/2

4) m=0 and m=(-5)

 

 

Video for better understanding!

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Solving equations in factored form

“It does not matter how slowly you go as long as you do not stop.” 

Note: Use the x-intercepts to find the vertex (axis of symmetry, optimal value), and graph a parabola.

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