Transcript Solving Fractional Equations

Fractional Equations
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Solving Fractional Equations
Unknown Variables in More Than One
Term
Common Electronics Equations
Roots of Quadratic Equations
Quadratic Formula
Solving Fractional Equations
Rule 9-1:
To solve an equation that includes
fractions or mixed numbers:
1. get rid of the fraction (or mixed
number);
2. solve for the unknown;
3. verify your answer.
1/3 + a/4 = 2
12(1/3 + a/4) = 2•12
4 + 3a = 24
3a = 20
a = 20/3 = 6 2/3
Unknown Variables in More Than
One Term
Key Point:
When unknown variables
appear in more than one
term, we must factor out
the unknown to arrive at a
solution.
ER, = V1R1 + V2R2
Solve for R1 .
ER1 - VIR1 = V2R2
R1(E - V1) = V2R2
R1 = V2R2 / (E - V1)
Common Electronics Equations
The value of total
resistance of two
resistors in parallel.
RT  R1 R 2
R1 R 2
The voltage gain of a
non-inverting op-amp
amplifier.
AV  Rf  1
Rin
Roots of Quadratic Equations
Key Point:
Quadratic equations are
second-degree equations
and have two solutions or
roots
x2 + 7x + 12 = 0
(x + 3)(x + 4) = 0
x + 3 = 0 x = -3
x + 4 = 0 x = -4
Quadratic Formula
 b  b  4ac
2a
2
You can apply the quadratic formula to a
quadratic equation in the form
ax2 + bx + c = 0