### Home > CAAC > Chapter 12 > Lesson 12.4.3 > Problem12-92

12-92.

Determine the number of solutions for each of the quadratics below. Note: You do not need to solve the quadratics.

1. $(x−5)^2=−6$

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

1. $312x^2+514x+181=0$

Try using the Quadratic Formula.

Two solutions.

1. $(x+3)^2−10=0$

Add $10$ to both sides.

1. $4x^2+49=28x$

Change the quadratic into perfect square form.