DISCUSS DISCOVER PROVE WRITE 92. DISCUSS: Solving an Equation in Different Ways We have learned several different ways to solve an equation in this section. Some equations can be tackled by more than one method. For example, the equation x – Vĩ – 2 = 0 is of quadratic type: We can solve it by letting Vã = u and x = u² and factoring. Or we could solve for Vĩ, square each side, and then solve the resulting quadratic equation. Solve the following equations using both methods indicated, and show that you get the same final answers. (a) x – Vĩ – 2 = 0 Quadratic type; solve for the radical, and square 12 (b) (х — 3)? 10 +1 = 0 X - 3 Quadratic type; multiply by LCD

Question

DISCUSS: Solving an Equation in Different Ways We have
learned several different ways to solve an equation in this
section. Some equations can be tackled by more than one
method. For example, the equation x  !x  2  0 is of
quadratic type: We can solve it by letting !x  u and
x  u2
and factoring. Or we could solve for !x, square each
side, and then solve the resulting quadratic equation. Solve
the following equations using both methods indicated, and
show that you get the same final answers.

DISCUSS
DISCOVER
PROVE
WRITE
92. DISCUSS: Solving an Equation in Different Ways We have
learned several different ways to solve an equation in this
section. Some equations can be tackled by more than one
method. For example, the equation x – Vĩ – 2 = 0 is of
quadratic type: We can solve it by letting Vã = u and
x = u² and factoring. Or we could solve for Vĩ, square each
side, and then solve the resulting quadratic equation. Solve
the following equations using both methods indicated, and
show that you get the same final answers.
(a) x – Vĩ – 2 = 0
Quadratic type; solve for the
radical, and square
12
(b)
(х — 3)?
10
+1 = 0
X - 3
Quadratic type;
multiply by LCD
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DISCUSS DISCOVER PROVE WRITE 92. DISCUSS: Solving an Equation in Different Ways We have learned several different ways to solve an equation in this section. Some equations can be tackled by more than one method. For example, the equation x – Vĩ – 2 = 0 is of quadratic type: We can solve it by letting Vã = u and x = u² and factoring. Or we could solve for Vĩ, square each side, and then solve the resulting quadratic equation. Solve the following equations using both methods indicated, and show that you get the same final answers. (a) x – Vĩ – 2 = 0 Quadratic type; solve for the radical, and square 12 (b) (х — 3)? 10 +1 = 0 X - 3 Quadratic type; multiply by LCD