Question

यदि 5 3 √ x + 12 3 √ x = 13 3 √ x है, तो x का मान होगा–

Answer 1

$5 \sqrt[ 3]{x} + 12 \sqrt[3]{x} = 13 \sqrt[3]{x}$

$\implies \: 17 \sqrt[3]{x} - 13 \sqrt[3]{x} = 0$

$\implies \: 4 \sqrt[3]{x} = 0$

$\implies \: \sqrt[3]{x} = 0$

$\implies \: {x}^{ \frac{1}{3} } = 0$

$\implies \: {x}^{3 \times \frac{1}{3} } = {0}^{ \frac{1}{3} }$

$\implies \: \boxed{\bold{ \: x = 0}}$

Answer 2

$53x+123x=133x</p><p>\implies \: 17 \sqrt[3]{x} - 13 \sqrt[3]{x} = 0⟹173x−133x=0</p><p>\implies \: 4 \sqrt[3]{x} = 0⟹43x=0</p><p>\implies \: \sqrt[3]{x} = 0⟹3x=0</p><p>\implies \: {x}^{ \frac{1}{3} } = 0⟹x31=0</p><p>\implies \: {x}^{3 \times \frac{1}{3} } = {0}^{ \frac{1}{3} }⟹x3×31=031</p><p>\implies \: \boxed{\bold{ \: x = 0}}⟹x=0$

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