11. Ifx + 7 is the mean proportional between (x +3
and (x + 12), find the value of x.
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11. Ifx + 7 is the mean proportional between (x +3
and (x + 12), find the value of x.
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Answer:
x=13
Step-by-step explanation:
Given:
(x+3):(x+7)=(x+7):(x+12)
Therefore,
(x+7)²=(x+3)(x+12)
x²+49+14x=x(x+12)+3(x+12)
x²+49+14x=x²+12x+3x+36
x²+49+14x=x²+15x+36
Divide both sides by x²
49+14x=15x+36
49-36=15x-14x
13=x
x=13