Simplify the expression 2/t - 3 - 2t and find the values of t for which the expression is 0. ​

Question

Simplify the expression \(\frac 2t - 3 - 2t\) and find the values of t for which the expression is 0.

(a) -2, -1

(b) -2, \(\frac 12\)

(c) -2, \(-\frac 12\)

(d) 2, 1

Answer 1

Correct option is (b) -2, \(\frac 12\)

\(\frac 2t\)​ − 3 − 2t = 0

2 − 3t − 2t² = 0

∴ 2t² + 3t − 2 = 0

2t² + 4t − t − 2 = 0

2t(t + 2) − ( t+ 2) = 0

(t + 2) (2t − 1) = 0

∴ t = −2, \(\frac 12\)