Question

If 9x multipled by 3x+1 =2187 what is the value of x?

Answer 1

Answer:

$\frac{53}{6} and \frac{-55}{6}$ are the value of x.

Step-by-step explanation:

Explanation:

Given,  if 9x multiplied by 3x + 1 = 2187.

According to the question,

9x × (3x + 1) = 2187

⇒$27x^2 + 9x = 2187$

Taking 9 as common from the LHS,

9 ($3x^2$ + x) = 9 (243)

⇒$3x^2 + x = 243$

Step 1:

We have $3x^2 + x - 243$ = 0

By  discriminant formula ,

x = $\frac{-b\frac{+}{} \sqrt{b^2 - 4ac} }{2a}$

⇒x = $\frac{-1 \frac{+}{}\sqrt{1- 4 (3)(-243)} }{2(3)}$

⇒ x = $\frac{-1 \frac{+}{}\sqrt{1 + 2916} }{6}$ = $\frac{-1 \frac{+}{}\sqrt{ 2917} }{6}$ = $\frac{ -1 \frac{+}{} 53}{6}$

So, x = $\frac{53}{6} and \frac{-55}{6}$

Final answer:

Hence,  the value of x are $\frac{53}{6} and \frac{-55}{6}$.

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