Question

Solve the following quadratic equations by factorization:16x-10/x=27

Answer 1

Plz refer to the pic. my dear frnd...

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Answer 2

X = 2, -5/16

Step-by-step explanation:

16x - 10/x = 27

16x² - 10 = 27x

16x² - 27x - 10 = 0

Factors of -160 are -32 and +5.

So 16x² -27x -10 = 0 can be written as:

16x² -32x +5x -10 = 0

16x (x -2) +5 (x -2) = 0

(x - 2) (16x +5) = 0

So the factors are (x - 2) and (16x +5).

If x - 2 = 0, then x = +2

If 16x +5 = 0, then x = -5/16

Hence solved.

X = 2, -5/16