Question

a^b=b^a.
If
a=2b
then find
a^2+b^2







if anyone solve this problem then I will mark him as brainiest and follow him...


Ans:20​

Answer 1

Step-by-step explanation:

sis what do mean by this

Answer 2

${a}^{b} = {b}^{a} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: and \: a = 2b = > b = \frac{a}{2} \\ {a}^{ \frac{a}{2} } = {b}^{a} \\ {( {a}^{ \frac{1}{2} }) }^{a} = {b}^{a} \\ \\ taking \: ath \: root \: on \: both \: sides \\ \\ {a}^{ \frac{1}{2} } = b \\ {(2b)}^{ \frac{1}{2} } = {( {b}^{2} )}^{ \frac{1}{2} } \\ \\ squaring \: both \: sides \\ 2b = {b}^{2} \\ \frac{ {b}^{2} }{b} = 2 \\ b = 2 \\ \\ substituting \: in \: a = 2b \\ \\ a = 2(2) \\ a = 4 \\ \\ now \\ \: \: \: \: \: {a}^{2} + {b}^{2} \\ = {(4)}^{2} + {(2)}^{2} \\ = 16 + 4 \\ = 20$

Hence, a² + b² = 20