IXL - Solve a quadratic equation using square roots (Algebra 2 practice)

Solve for

100

Write your answer in simplified, rationalized form.

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Learn with an example

Solve for

Write your answer in simplified, rationalized form.

	Solutions of x 2 = a
a > 0	Two real solutions: x = a and x = – a
a = 0	One real solution: x = 0
a < 0	Two imaginary solutions: x = 𝑖 absolute value bar a absolute value bar and x = – 𝑖 absolute value bar a absolute value bar

To solve the equation

take the square root of both sides. Since 49 is positive, the solutions will be real numbers.

Take the square root of both sides

Simplify

±7

Simplify

So, there are two real solutions:

and

–

Looking for more? Try this:

$Confetti$

Now entering the Challenge Zone—are you ready?

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