Question

2 marks each
Q1. Find the roots of the following quadratic equations using quadratic formula.
(i). 2x2 - 5x + 3 = 0

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Answer 1

Step-by-step explanation:

${2x}^{2} - 5x + 3 \\ quadratic \: formula \\ \frac{ - b \frac{ + }{ - {} } \sqrt{ { {b}^{2} - 4ac}} }{ 2a} \\ to \: make \: it \: easier \: find \: the \: discriminant \\ d = \sqrt{ {b}^{2} - 4ac} \: \: \: \: \: a = 2 \: \: \: b = - 5 \: \: \: c = 3 \\ \sqrt{ { - 5}^{2} - 4 \times 2 \times 3} \\ = \sqrt{25 - 24 } \\ = 1 \\ \frac{{ - b \frac{ + }{ - } 1 }}{2a} \\ \frac{- ( - 5) \frac{ + }{ - } 1}{2 \times 2} \\ = \frac{5 \frac{ + }{ - } 1}{4 } \\ = \frac{5 + 1}{4} or \frac{5 - 1}{4} \\ = \frac{6}{4} or \frac{4}{4} \\ = \frac{3}{2} or1$

hope this helps