Question

The roots of the equation [ x (5x - 8) ] = 4 are
-2/5 and 2
4 and 12/5
0 and 8/5
4 and 8/5

Answer 1

Answer:

Below

Step-by-step explanation:

5x²-8x-4

(5x+2)(x-2)

-2/5 and 2

Option a

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Answer 2

Answer:

x = -2/5 , 2

Note:

★ The possible values of variable which satisfy the given equation are called its solutions or roots .

★ If it is given that , x = a is a root of given equation , then it must satisfy the given equation .

Solution:

Here,

The given equation is ;

x(5x - 8) = 4

The given equation can be rewritten as ;

=> x(5x - 8) = 4

=> 5x² - 8x = 4

=> 5x² - 8x - 4 = 0

=> 5x² - 10x + 2x - 4 = 0

=> 5x(x - 2) + 2(x - 2) = 0

=> (x - 2)(5x + 2) = 0

=> x - 2 = 0 OR 5x + 2 = 0

=> x = 2 OR 5x = -2

=> x = 2 OR x = -2/5

Hence,

Required roots are :

x = -2/5 , 2