Which of the following expressions are perfect-square trinomials? Check all of the boxes that apply.
x² - 5x +
A student says that if 5x2 = 20, then x must be equal to 2. Do you agree or disagree with the student? Justify your answer.
I disagree with the student. While 2 is a solution, it is not the only possible value for x. Dividing both sides of the equation 5x^2 = 20 by 5 results in x^2 = 4. According to the square root property, taking the square root of both sides gives x = 2 or x = -2. Therefore, x could be -2 as well.
Given (x – 7)2 = 36, select the values of x.
from each side of the equation.
72
Write the equation so that a = 1: x2 + x =
The solution to x2 – 10x = 24 is .
Complete the square to write 16t² - 96t + 48 = 0 as .
x² + x + 49
Compare your response with the sample response presented here. Did your explanation
Given (x – 1)2 = 50, select the values of x.


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x
The solution to 2x2 – 11 = 87 is .
Solve (t - 3)² = 6. The arrow is at a height of 48 ft after approximately s
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Complete the square: x2 – 6x + = –13 + ⇒ 9
The solution to 3x2 – 12x + 24 = 0 is .
and after s.
Take the square root of both sides to get the solutions .
–13 +
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(x + )²
)²
Use the square root property of equality to solve(x – 3)2 = –4.The solutions are .
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