Question

Solve by factorisation method
5t^2-17t/2+3/2=0

Answer 1

Question:-

Solve by factorisation method:-

5t² - 17t/2 + 3/2 = 0

Solution:-

$= > {5t}^{2} - \frac{17t}{2} + \frac{3}{2} = 0 \\ = > \frac{ ({5t}^{2} \times 2) - 17t + 3 }{2} = 0 \\ = > {10t}^{2} - 17t + 3 = 0 \times 2 \\ = > 10 {t}^{2} - 15t - 2t + 3 = 0 \\ = > 5t(2t - 3) - 1(2t - 3) = 0 \\ = > (5t - 1)(2t - 3) = 0$

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Therefore,

t = (1/5) or (3/2)