Question

Solve equation x²-3=0
give me only correct answer otherwise don't touch .​

Answer 1

Step by Step Solution

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Step by step solution :

STEP 1

:

Trying to factor as a Difference of Squares:

1.1 Factoring: x^2-3

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 3 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step

1

:

x^2 - 3 = 0

STEP2

:

Solving a Single Variable Equation:

2.1 Solve : x^2-3 = 0

Add 3 to both sides of the equation :

x^2 = 3

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:

x = ± √ 3

The equation has two real solutions

These solutions are x = ± √3 = ± 1.7321

Two solutions were found :

x = ± √3 = ± 1.7321

I Hope it helps you

Answer 2

Answer:

refer to the attachedment