Maths-

General

Easy

Question

Solve the radical equation $square root of x plus 9 end root minus square root of 2 x end root equals 3$

hint Hint:

Rearrange the equation and then solve for x.

The correct answer is: ⇒ x = 72

Complete step by step solution:
Here we have the equation $square root of x plus 9 end root minus square root of 2 x end root equals 3$
$not stretchy rightwards double arrow square root of x plus 9 end root equals 3 plus square root of 2 x end root$
On squaring both the sides, we have $x plus 9 equals left parenthesis 3 plus square root of 2 x end root right parenthesis left parenthesis 3 plus square root of 2 x end root right parenthesis$
$not stretchy rightwards double arrow x plus 9 equals 9 plus 3 square root of 2 x end root plus 3 square root of 2 x end root plus 2 x$
On subtracting, 2x and 9 from both the sides, we get
$not stretchy rightwards double arrow negative x equals 6 square root of 2 x end root$
On squaring both the sides, we get
$table attributes columnspacing 1em end attributes row cell space space space space space space space space x squared equals 36 cross times 2 x end cell row cell not stretchy rightwards double arrow x equals 72 end cell end table$

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Can’t find what you’re looking for?

Solve the radical equation

Rearrange the equation and then solve for x.

The correct answer is: ⇒ x = 72

Complete step by step solution:Here we have the equation On squaring both the sides, we have On subtracting, 2x and 9 from both the sides, we getOn squaring both the sides, we get

Related Questions to study

Function f represents the population , in millions , of Franklin x years from now. Function g represents the population , in millions , of Georgetown x years from now, If the pattern shown in the table continue , will franklin always have a greater population than Georgetown ? Explain.

Function f represents the population , in millions , of Franklin x years from now. Function g represents the population , in millions , of Georgetown x years from now, If the pattern shown in the table continue , will franklin always have a greater population than Georgetown ? Explain.