Question

Solve 6√(y + 1) = (y − 15).
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Answer 1

Step-by-step explanation:

Given,

6√y+1 = y - 15

Squaring both sides we get,

$36(y + 1) = {(y - 15)}^{2}$

$36y + 36 = {y}^{2} - 30y + 225$

${y}^{2} - 66y + 189 = 0$

D = b.b - 4ac

= 66.66 - 4(189)= 3600

Now,

y = (-b +- √D)/2a

y = (66 +- 60)/2

either,

y =( 66-60)/2= 3

or

y = (66+60)/2 = 63