Question

Find the value of x-36, x, 49

Answer 1

Answer:

x - 36

x = 36

x - 49

x = 49

x + 49

x = -49

Answer 2

Step-by-step explanation:

Continued proportion means that: the proportion between each two consecutive terms is constant and doesn't change for the whole series.

so we have

\dfrac{36}{x}=\dfrac{x}{49}x36=49x

in order to solve this equation and get the values of x, we multiply both sides by xx then by 4949

\dfrac{36}{x}*49*x=\dfrac{x}{49}*49*xx36∗49∗x=49x∗49∗x

36*49=x^{2}36∗49=x2

or x^{2}=36*49x2=36∗49

to solve an equation on this form we take the square root of both sides

\sqrt{x^{2}}=\sqrt{36*49}=\sqrt{36}*\sqrt{49}x2=36∗49=36∗49

x=\pm6*7=\pm42x=±6∗7=±42

Note that we get \pm± because they both result in the given result of  36*4936∗49

so the final answer would be x=\pm

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