Question

If x is a positive real number and x2 = 5, then x3 + 2 =​

Answer 1

Answer:

dupdoydupdupdupduldhldlusylz

Answer 2

SOLUTION

GIVEN

x is a positive real number and x² = 5

TO DETERMINE

The value of x³ + 2

EVALUATION

Here the given equation is

$\sf{ {x}^{2} = 5 }$

First we find the value of x as below

$\sf{ {x}^{2} = 5 }$

$\sf{ \implies {x}^{2} = {( \sqrt{5} )}^{2} }$

Since x is a positive real number

$\sf{ \therefore \: \: x = \sqrt{5} }$

Now

$\sf{ {x}^{3} + 2}$

$\sf{ = {( \sqrt{5} )}^{3} + 2}$

$\sf{ = {( \sqrt{5} \times \sqrt{5} \times \sqrt{5} )}^{} + 2}$

$\sf{ = {( 5 \times \sqrt{5} )}^{} + 2}$

$\sf{ = 5 \sqrt{5} + 2}$

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