Question

If 9x²+ 25y²=181 and xy=-6, find the value of 3x + 5y

Answer 1

Answer:

Here there are two answers:

1. +1
2. -1

Step-by-step explanation:

(3x+5y)^2=(3x)^2+(2.3x.5y)+(5y)^2

or, (3x+5y)^2=9x^2+30xy+ 25y^2

or, (3x+5y)^2=9x^2+25y^2+30xy

or, (3x+5y)^2=181+{30×(-6)}

or, (3x+5y)^2=181+(-180)

or, (3x+5y)^2=181-180

or, (3x+5y)^2=1

or, (3x+5y)=+-√1

or, (3x+5y)=+- 1

HOPE THIS ANSWER HELPS YOU....