Question

ax+by=3
bx-ay=4
x^2+y^2=1
Find a^2+b^2​

Answer 1

ax + by = 3 ----(1)

take square both sides ,

a²x² +b²y² +2abxy = 9

bx -ay = 4 ------------(2)

take square both sides ,

b²x² +a²y² -2abxy = 16

add equation (1) and (2)

x²(a² +b²) +y²( a²+b² ) = 9 +16

(x² +y²)(a² +b²) = 25

from question ,

x² + y² = 1

so,

a² + b² = 25

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Answer 2

⭕HOLA MATE⭕

✍️ANSWER:-

Ax + by = 3 ----(1)

take square both sides ,

a²x² +b²y² +2abxy = 9

bx -ay = 4 ------------(2)

take square both sides ,

b²x² +a²y² -2abxy = 16

add equation (1) and (2)

x²(a² +b²) +y²( a²+b² ) = 9 +16

(x² +y²)(a² +b²) = 25

from question ,

x² + y² = 1

so,

a² + b² = 25

❤HOPE IT HELPS❤