CPM Homework Help : AC Problem 10-84

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Home > AC > Chapter 10 > Lesson 10.2.4 > Problem 10-84

10-84.

How many solutions does each quadratic equation below have?

$6x^2+7x-20=0$
Hint (a):
Factor the equation.
Answer (a):
Since the two factors are not equal, there are two solutions.

$m^2-8m+16=0$
Hint (b):
Factor the equation.
Answer (b):
Since the two factors are equal, there is one solution.

$2r^2+r+3=0$
Hint 1(c):
This quadratic cannot be factored. Use the Quadratic Formula to deterine how many solutions this equation has.
Hint 2(c):
If he number under the square root is greater than $0$ , then there are two solutions. If the number under the square root is equal to $0$ , then there is only one solution.

$\left(2k+1\right)^2=0$
Hint (d):
Refer to parts (a) and (b).

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