Question

Find the value of x using identity if 4x = (52)² - (48)²​

Answer 1

Answer:

Step-by-step explanation:

Given: 4x = 52^2-48^24x=52

2

−48

2

To Find : Value of x

Solution :

4x = 52^2-48^24x=52

2

−48

2

The value of:

52^2 = 270452

2

=2704

48^2 =230448

2

=2304

Substitute the values :

4x = 52^2-48^24x=52

2

−48

2

4x= 2704-23044x=2704−2304

4x= 4004x=400

x=\frac{400}{4}x=

4

400

x=100

Hence The value of x is 100

Step-by-step explanation:

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Answer 2

Answer:

x = 100

Step-by-step explanation:

$R.H.S = (50+2)^2 - (50-2)^2 =$ {${50^2 + (2)(50)(2) + 2^2}$} - {${{50^2 - (2)(50)(2) + 2^2}$}

                                                ={2500+200+4} - {2500 - 200 + 4}

                                                =2704 - 2304

                                                =400

∴ 4x = 400

∴ x=400/4

     = 100

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