Question

If root 1 + x/144 = 13/12 then x = ?​

Answer 1

Answer:

Step-by-step explanation:✓|+x/144=13/12

=} |+x/144=169/144

=}144 +x/144=169/144

144 will be cancelled by the other

=}144+x=169

=}x=169-144

=}x=25

Answer 2

Answer:

$\huge \green\star\blue{Answer:}$

$\purple{Value \: \: of \: \: x = 25}$

$\green{Step-by- \:step \: \: explanation \: }$

$Given \: \sqrt{1+\frac{x}{144}}=\frac{13}{12}Given </p><p>1+ </p><p>144</p><p>x</p><p> </p><p> </p><p> </p><p> = </p><p>12</p><p>13</p><p>$

$\pink{On \: \: Squaring \: \: \: both \: \: sides \: , \: we \: \: get}$

$\implies \big(\sqrt{1+\frac{x}{144}}\big)^{2}=\big(\frac{13}{12}\big)^{2}⟹( </p><p>1+ </p><p>144</p><p>x</p><p> </p><p> </p><p> </p><p> ) </p><p>2</p><p> =( </p><p>12</p><p>13</p><p> </p><p> ) </p><p>2$

$\implies 1+\frac{x}{144}=\frac{169}{144}⟹1+ </p><p>144</p><p>x</p><p> </p><p> = </p><p>144</p><p>169</p><p> </p><p> </p><p>$

$\implies \frac{x}{144}=\frac{169}{144}-1⟹ </p><p>144</p><p>x</p><p> </p><p> = </p><p>144</p><p>169</p><p> </p><p> −1$

$\implies \frac{x}{144}=\frac{169-144}{144}⟹ </p><p>144</p><p>x</p><p> </p><p> = </p><p>144</p><p>169−144</p><p>$

$</p><p>\implies \frac{x}{144}=\frac{25}{144}⟹ </p><p>144</p><p>x</p><p> </p><p> = </p><p>144</p><p>25</p><p>$

$\implies x = \frac{25\times 144}{144}⟹x= </p><p>144</p><p>25×144</p><p> </p><p> </p><p>$

$\implies x = 25⟹x=25$

$\red{Therefore,}$

$\blue{Value \: \: of \: \: x = 25}$

$•••♪$

$\pink \star \boxed {plz \: \: mark \: \: as \: brainliest} \pink \star$