# 4. Find the solutions of each of the following QE by factoring. Explain how you arrived at your answer. a. (x+3)^2 = 25 c. (2t - 3)^2 = 2t^2 + 5t - 26 b. (s+4)^2 = -2s d. 3(x+2)^2 = 2x^2 + 3x - 8 5. Do you agree that x^2 + 5x - 14 = 0 and 14 - 5x - x^2 = 0 have the same solutions? Justify your answer.6. Show that the equation (x - 4)^2 = 9 can be solved both by factoring and extracting square roots. 7. A computer manufacturing company would like to come up with a new laptop computer such that its monitor is 80 sq inches smaller than the present ones. Suppose the length of the monitor of the larger computer is 5 inches longer than its width and the area of the smaller computer is 70 sq inches. What are the dimensions of the monitor of the larger computer? THANK YOU PO :)

2
by Immyles

2014-06-29T16:44:51+08:00
(x-3)^2 = 25
x^2 + 9 - 6x = 25
x^2 - 6x + 9 - 25 = 0
x^2 - 6x - 16 = 0
x^2 - 8x + 2x - 16 = 0
x(x - 8) + 2(x - 8) = 0
(x + 2)(x - 8) = 0
x = -2 , 8

lleter a
Ah. OK
WHAT IS THE ANSWER OF (A6
WHAT I MEAN IS (A^2 B^2 + 8C^4
Eh? bakit ganun?? ang nakalagay sa sa testpaper namin a. (x + 2)^2 = 9 tapos yung sa no. 6 (x - 2)^2 = 9? kaya hindi ko alam yung sagot. HUHUHU!!! help!
2014-06-29T17:51:45+08:00

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4.

(When you write it on your paper don't include 2 in the square root sign)
(Likewise here, don't include -1/2 in the square root sign)
(Here too)

5.Yes,

Use distributive property then it will be equal to x²+5x-14=0.

P.S. Done at last... Sorry for the late answers.... Solving it was time consuming... Sorry also because I can't quite get number 7.... I hope this helps you though... :(

Armina arigatōgozaimashita :)
Doishimashite ^_^