Question

solution of 16x2-49
​

Answer 1

Answer:

the answer is ( -17 ).....

Answer 2

Answer:

Factorizations

$x= 7/4 \: = 1.750$

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

16*x^2-(49)=0

24x2 - 49 = 0

2.1 Factoring: 16x2-49

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 : 16 is the square of 4

Check : 49 is the square of 7

Check : x2 is the square of x1

Factorization is : (4x + 7) • (4x - 7)

(4x + 7) • (4x - 7) = 0

A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solve : 4x+7 = 0

Subtract 7 from both sides of the equation :

4x = -7

Divide both sides of the equation by 4:

x = -7/4 = -1.750

Solve : 4x-7 = 0

Add 7 to both sides of the equation :

4x = 7

Divide both sides of the equation by 4:

x = 7/4 = 1.750