Question

Find the roots of a quadratic equation
$2x {}^{2} + 3x - 5 = 0$
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Answer 1

Answer:

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Answer 2

Answer:

Roots of the given equation are 1 and -5/2

Step-by-step explanation:

${2x}^{2} + 3x \: - \: 5 \: = 0 \\ = > {2x}^{2} \: - 2x \: + \: 5x \: - \: 5 \: = 0 \\ = > 2x(x \: - 1) \: + \: 5(x \: - 1) \: = 0 \\ = > (x - 1)(2x \: + 5) \: = 0 \\ = > either \: x \: - 1 \: = 0 \: or \: 2x \: + 5 \: = 0 \: by \: zero \: product \: law. \\ = > if \: x \: - 1 \: = 0 \: then \: x \: = \: 1 \: or \: if \: 2x \: + 5 \: = 0 \: then \: x \: = \: \frac{ - 5}{2} therefore \: the \: roots \: of \: the \: given \: quadratic \: equation \: are \: 1 \: and \: \frac{ - 5}{2}$