Day 147 – April 22

Algebra: Chapter 13, Lesson 2, page 580.

More Solving Quadratic Equations

Solve a quadratic equation of the form `ax^2 = k`

Example: `-3x^2 + 7 = 0` becomes …

`-3x^2 = -7` or `x^2=7/3`

then `x = ±sqrt(7/3)`, don’t forget to rationalize this to `x = ±sqrt(21)/3`!

Solve a quadratic equation by factoring one expression into a binomial square [of the form `(x + a)^2 = k`]

Example: `(x-5)^2 = 9`, if you take the square root of both sides becomes …

`x-5 = ±sqrt(9)` or `x = 5 ±sqrt(9)` or `x = 5 ± 3` or `x=8` or `x=2`

See here for more examples.

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