Find the value of x such that, (iii) x, \[\mathbf{x}\text{ }+\text{ }\mathbf{3},\text{ }\mathbf{x}\text{ }+\text{ }\mathbf{9}\] are first three terms of a G.P. Find the value of x. - Noon Academy

Find the value of x such that, (iii) x,

$\mathbf{x}\text{ }+\text{ }\mathbf{3},\text{ }\mathbf{x}\text{ }+\text{ }\mathbf{9}$

are first three terms of a G.P. Find the value of x.

Arithmetic and Geometric Progression | Class 10 | Exercise 1 | ICSE | Maths | ML Aggarwal

Find the value of x such that, (iii) x,

$\mathbf{x}\text{ }+\text{ }\mathbf{3},\text{ }\mathbf{x}\text{ }+\text{ }\mathbf{9}$

are first three terms of a G.P. Find the value of x.

From the question,

$\begin{array}{*{35}{l}}</strong> <strong> {{\left( x\text{ }+\text{ }3 \right)}^{2}}~=\text{ }x\left( x\text{ }+\text{ }9 \right) \\</strong> <strong> {{x}^{2}}~+\text{ }6x\text{ }+\text{ }9\text{ }=\text{ }{{x}^{2}}~+\text{ }9x \\</strong> <strong> 9\text{ }=\text{ }9x\text{ }\text{ }6x \\</strong> <strong> 9\text{ }=\text{ }3x \\</strong> <strong> X\text{ }=\text{ }9/3 \\</strong> <strong> X\text{ }=\text{ }3 \\</strong> <strong>\end{array}$

i

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