Math, asked by vaishanvidadmal, 5 months ago

Factorise : 7x^2-15=0​

Answers

Answered by divu45
0

Answer:

STEP

1

:

Equation at the end of step 1

15 - 7x2 = 0

STEP

2

:

Trying to factor as a Difference of Squares:

2.1 Factoring: 15-7x2

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 : 15 is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Equation at the end of step

2

:

15 - 7x2 = 0

STEP

3

:

Solving a Single Variable Equation:

3.1 Solve : -7x2+15 = 0

Subtract 15 from both sides of the equation :

-7x2 = -15

Multiply both sides of the equation by (-1) : 7x2 = 15

Divide both sides of the equation by 7:

x2 = 15/7 = 2.143

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

x = ± √ 15/7

The equation has two real solutions

These solutions are x = ±√ 2.143 = ± 1.46385

Step-by-step explanation:

hope it will help you please mark my answer as brainliest and give thanks to my answer

Similar questions