Answer: a = 1 b = 7
Step-by-step explanation:
x^2(y^3)^4/x.y^5 = x^a.y^b
x^2(y^12) = x^a.y^b
(x^2).(y^12)/x^y^5 = x.y^7
x.y^7= x^a . y^b -> <u>x^1.y^7</u>
The possible values of x are 3 and 7
<h3>Solving rational expressions</h3>
Given the rational expression below;
√60-8x = x - 9
Square both sides to have:
(60-8x)² = (x-9)²
60-8x = x²-18x+81
Equate to zero to have;
x²-18x+81 - 60 + 8x = 0
x² - 10x + 21 = 0
x² -3x-7x +21 = 0
x(x-3)-7(x-3) = 0
x = 3 and 7
Hence the possible values of x are 3 and 7
Learn more on rational expression here: brainly.com/question/25292194
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the answer is
<span>[√8k ]² =k²,
so 8k=k² which implies k² - 8k= 0, and (k
– 8)k= 0, so k = 8 or k =0</span>
The amount of interest due was $2,300
the total amount that had to be paid back was 22,300
