Solving Quadratic Equations with Square Roots

What is the first step in solving a quadratic equation using square roots?

• Add a constant to both sides

• Take the square root of both sides

• Multiply both sides by a constant

• Divide both sides by a constant

If K squared equals 76, what are the possible values of K?

• 8.717 and -8.717

• 9.718 and -9.718

• 8.718 and -8.718

• 7.618 and -7.618

What are the solutions for K if K squared equals 16?

• 6 and -6

• 3 and -3

• 4 and -4

• 5 and -5

If x squared equals 20, what are the approximate values of x?

• 6.472 and -6.472

• 7.472 and -7.472

• 5.472 and -5.472

• 4.472 and -4.472

Why can't we take the square root of a negative number in real numbers?

• It results in a negative number

• It results in zero

• It results in a complex number

• It results in a positive number

What should you do if you encounter a negative number under a square root while solving an equation?

• Assume it is positive

• Acknowledge no real solution

• Consider it as zero

• Ignore it

What is the solution for M if M squared equals 81?

• 11 and -11

• 10 and -10

• 9 and -9

• 8 and -8

What happens when you divide a negative number by another negative number?

• The result is undefined

• The result is positive

• The result is negative

• The result is zero

What is the result of taking the square root of a perfect square?

• A single positive number

• A single negative number

• Two numbers: one positive and one negative

• Zero

What is the square root of 100?

• 9 and -9

• 10 and -10

• 11 and -11

• 12 and -12