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Home > CCA > Chapter 11 > Lesson 11.3.3 > Problem 11-101

11-101.
  1. Determine the number of solutions for each of the quadratics below. Note: You do not need to solve the quadratics. Homework Help ✎

    1. (x − 5)2 = −6

    2. 312x2 + 514x + 181 = 0

    3. (x + 3)2 − 10 = 0

    4. 4x2 + 49 = 28x

Can any real number be squared to get a negative number? Is there any real value for x that will make the equation true?

Try using the Quadratic Formula.

Two solutions.

Add 10 to both sides.

Change the quadratic into perfect square form.