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Q.

If $8 x 2 − 22 x − 21 = 0$ , then $x = 34, 52$ . State whether the given statement is true/false.

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a

True

b

False

answer is B.

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Detailed Solution

The given linear equation is

8 x 2 − 22 x − 21 = 0

.
We can solve the above equation using the factorization method.

8 x 2 − 22 x − 21 = 0 8 x 2 − 28 x + 6 x − 21 = 0 4 x (2 x − 7) + 3 (2 x − 7) = 0 (2 x − 7) (4 x + 3) = 0

Thus, the values are

x = 72

and

x = − 34

.

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If 8 x 2 −22x−21=0 , then x= 3 4 , 5 2 . State whether the given statement is true/false.