First we have to recognize factoring of a quadratic and rewriting forms!

Be ready!

The next questions are about the conceptual parts of "U" substitution.

Don't forget everything has it's own exponent! Even numbers have an exponent.

Own exponents!

When we have a term in parenthesis and a power is outside, the power applies to all things inside.

(8x⁴)² = 64x⁸

Power of a Power

Don't forget the power rules!

Starting "U" Substitution

Recognize the structure, identify "U"

x⁴ - 7x² + 10 = 0

u - 2 = 0

Since u = x² replace u with x²

Solve both cases!

u - 5 = 0

Replace "U" at the end
u² - 7u + 10 = 0

This one I'll do!

Follow along! Write it down!

(y² - 17)² - 16(y² - 17) + 64 = 0

You do this one!

x⁴ - 36x² = -35