How do you solve the equation $3 + 5 \sqrt{n} = 18$ $3+5sqrtn=18$ ?

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Answer 1 · 2017-01-31T23:39:02

$n = 9$ $n=9$

Solve $3 + 5 \sqrt{n} = 18$ $3+5sqrtn=18$

Subtract $3$ $3$ from both sides.

$5 \sqrt{n} = 18 - 3$ $5sqrtn=18-3$

$5 \sqrt{n} = 15$ $5sqrtn=15$

Square both sides.

$5^{2} {(\sqrt{n})}^{2} = 15^{2}$ $5^2(sqrtn)^2=15^2$

Simplify.

$25 n = 225$ $25n=225$

Divide both sides by $25$ $25$ .

$n = 9$ $n=9$

How do you solve the equation 3+5√n=183+5sqrtn=18?