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Algebra
This is a preview. There are 7 more flashcards available for chapter 28/02/2017
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Solve x2 = −100 by using square roots.
There are no real solutions.
There is no real number whose square is negative. Therefore, there are no real solutions. 
Solve the equation m2 − 350 = 11 by using square roots.
19
m2 − 350 = 11
m2 = 361 Add 350 to both sides.
m = Take the square root of both sides.
m = ±19 
Solve x2 − 10 = 0. If necessary, round to the nearest hundredth.
3.16
x2 − 10 = 0
x2 = 10 Add 10 to both sides.
x = Take the square root of both sides.
x = ±3.16 
Solve the equation 64x2 − 144 = −23 by using square roots.
11/8
64x2 − 144 = −23
64x2 = 121 Add 144 to both sides.
x2 = 121/64 Divide both sides by 64.
x = Take the square root of both sides.
x = ±11/8 
Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The area of the patio is 280 ft2. Find the base. Round your answer to the nearest foot.Hint : Use A = bh.
18
A = bh Use the formula for the area of a parallelogram.
280 = (5x)(6x) Substitute.
280 = 30x2 Simplify.
28/3 = x2 Divide both sides by 30 and simplify.
x = Take the square root of both sides.
x ≈ 3 Length cannot be negative.
The width is 6x ≈ 18 ft. 
Use the graph of the related function to identify the solution(s) of the equation 9x2 + 36 = 36x.
x=2
9x2 + 36 = 36x
Find the zeros.
The zero is 2. 
Use the graph of the related function to identify the solution(s) of the equation x2 = 6x − 10.
no real aanswers
x2 = 6x − 10
Find the zeros.There are no real zeros. 
Solve the equation x2 − 6x + 5 = 0 by graphing the related function.
1 and 5
x2 − 6x + 5 = 0Step 1 Write the related function.
x2 − 6x + 5 = 0
y = x2 − 6x + 5
Step 2 Graph the function.
Use a graphing calculator.
Step 3 Find the zeros.
The zeros are 1 and 5. 
Solve the quadratic equation x2 + 30x + 225 = 0 by factoring.
x= 15 
Solve the quadratic equation x2 + 18x + 77 = 0 by factoring.
x = −7; x = −11
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