Question

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

Answer 1

Answer:

Step-by-step explanation:

→ (3x)²+(5y)²+2(3x)(5x)-2(3x)(5x)=181

→ (3x+5y)²=181+30xy

→ (3x+5y)²=181+30(-6)

→ (3x+5y)²=181-180

→ (3x+5y)²=1

→ (3x+5y)= ±1

Answer 2

Answer:

Given:

9x² +25y²=181 and xy = - 6

9x² +25y²=181

(3x)²+(5y)²=181

(3x+5y)²-2(3x)(5y)=181

[since, a²+b²+2ab=(a+b)²]

(3x+5y)²-30xy=181

(3x+5y)²-30(-6)=181

(3x+5y)²=181-180

(3x+5y)²=1

(3x+5y)=±√1

(3x+5y)=±1

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