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Mathematics
Lin
5 September, 23:50
Solve the following equation 3+√x=√ (x+81).
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Micah Knox
6 September, 02:13
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The solution for this question is 144.
Step-by-step explanation:
Given that
3+√x=√ (x+81) (i)
square equation (i)
(3+√x) ^2 = (√ (x+81) ^2
we know that (a+b) ^2 = (a^2+b^2+2. a. b). and√x*√x = (√x) ^2=x So,
(3) ^2 + (√x) ^2+2*3*√x=x+81
9+x+6√x=x+81
6√x=x+81-x-9
6√x=x-x+81-9 Simplify the equation.
6√x=72
√x=72/6
√x=12 (a)
square equation (a) for x value.
(√x) ^2 = (12) ^2
x=144
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