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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics
2.4 Problems on Square Root - III

Example:
Solve 2(x-6)2 + 7 = 19 - (x-6)2.
Solution:
Let x-6 = a, the the given equation becomes,
2(a)2 + 7 = 19 - (a)2
2a2 + 7 - 19 + a2 = 0
3a2 - 12 = 0
a2 = 12/3
a2 = 4
Taking square root on both sides
a = 2
But a = x - 6
x - 6 = 2 or x - 6 = -2
x = 6 + 2 or x = -2 + 6
x = 8 or x = 4

Verification:
When x = 8 2(x - 6)2 = 19 - (x - 6)2
2(8 - 6)2 = 19 - (8 - 6)2
2(2)2 = 19 - (2)2
2*4 + 7 = 19 - 4
8 + 7 = 19 - 4
15 = 15
\Both sides are equal, so the given equation is satisfied by x = 8.

When x = 4 2(x - 6)2 = 19 - (x - 6)2
2(4 - 6)2 = 19 - (4 - 6)2
2(-2)2 = 19 - (-2)2
2*4 + 7 = 19 - 4
8 + 7 = 19 - 4
15 = 15
\Both sides are equal, so the given equation is satisfied by x = 4.


Directions: Solve the following problems. Also write at least ten examples of your own.
Q 1: Solve 7 (x-3)2 - 8 = 40 - 5(x-3)2.
1 and 5
3 and 7
2 and 6

Q 2: Solve 9(x+5)2 = 576.
3 and -16
4 and -14
3 and -13

Q 3: Solve 8(x+5)2 = 288.
1 and -8
1 and -11
1 and -6

Q 4: Solve 3(x+2)2 - 48 = 32 - 2(x+2)2.
2 and -6
3 and -7
4 and -8

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


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