Home > AC > 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. $\left(x-5\right)^2=-6$

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

1. $\left(x+3\right)^2-10=0$
Add $10$ to both sides.
1. $4x^2+49=28x$