Question

given equation 5x^2 -2x+3=0; a-b=?​

Answer 1

Step by step solution :

STEP

1

:

Equation at the end of step 1

5x2 - 3 = 0

STEP

2

:

Trying to factor as a Difference of Squares:

2.1 Factoring: 5x2-3

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 expressionCheck : 5 is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Equation at the end of step

2

:

5x2 - 3 = 0

STEP

3

:

Solving a Single Variable Equation:

3.1 Solve : 5x2-3 = 0

Add 3 to both sides of the equation :

5x2 = 3

Divide both sides of the equation by 5:

x2 = 3/5 = 0.600

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

x = ± √ 3/5

The equation has two real solutions

These solutions are x = ±√ 0.600 = ± 0.77460

Two solutions were found :

x = ±√ 0.600 = ± 0.77460

Answer 2

Answer:

thankyou

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