a+ b is 11 and ab is 30 then find the valve of a-b
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Answer:
use the method...... ........
Answered by
1
Answer:
a+b = 11 -(i)
ab = 30
a = 30/b -(ii)
Substitute eqn (ii) in eqn (i)
30/b + b = 11
(30+b²)/b = 11b
30+b² = 11b²
30 =10b²
b² =30/10
b = ✓3 (iii)
Substitute value of b in eqn (ii)
a = 30/✓3
a = (3 x 10)/✓3
a = ✓3 x 10
therefore,
a-b = (✓3 x 10) + ✓3
= ✓3 (10 + 1)
= 11✓3
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