Quadratic Equations Square Roots

Solve using square roots.

• ±√9

• ±3

• ±1

• No real solution

Solve by taking square roots:
5m² + 1 = 6

• m = 0

• m = 1 or -1

• m = √7

• m = 7/5 m = -7/5

Solve by taking square roots:
a² + 9 = 9

• no solution

• a = 0

• a = 3 or -3

• a = 18

How do we solve for x?

• It is already solved

• Divide it by 2

• Square it

• Take the square root

For this quadratic equation, we said that there are NO REAL SOLUTIONS. Why did we say that?

• Because 3 goes into 9, so those cancel out

• Because we cannot take the square root of a negative number

• Because a has to be equal to 1

• Because there is no c value

What is the error made when solving this quadratic equation?

• The answer should only be -2 since the square root of -4 is -2

• The answer should only be 2, because the native cancels out, since we took the square root of a negative

• There is no error, everything was done correctly

• The answer should be no real solutions, since we can't take the square root of a negative

What are the solutions of this quadratic equation?

• x = 49

• x = 11

• x = -3

• x = 3

• x = -11

Solve this quadratic equation

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How do we undo something that is squared?

• Multiplication

• Square it

• Take the square root

• Division

What is the difference between a root and a square root?

• A root is half of a square root

• A root is a solution and square root undoes a square

• A root undoes a square and a square root is solution

• They are the same thing