Question

it's urgent so please fast​

Answer 1

2x2 - 7x + 5 = 0

Roots: 2.5, 1

Root Pair: 7/4 ± 3/4

Factored: f(x) = 2(x - 2.5)(x - 1)

Discriminant: 9

Vertex: (1.75, -1.125)

Sum of Roots (-b/a): 3.5

Product of Roots (c/a): 2.5

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Answer 2

p(x) = 2x² -7x +5 = 0

Multiplying both sides by 2,

We get,

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: 4 {x}^{2} - 14x + 10 = 0 \\ = = > {(2x)}^{2} - 2 \times 2x \times \frac{7}{2} + { (\frac{7}{2} )}^{2} - { (\frac{7}{2} )}^{2} + 10 = 0 \\ = = > {(2x - \frac{7}{2} )}^{2} - \frac{49}{4} + 10 = 0 \\ = = > {(2x - \frac{7}{2} )}^{2} = \frac{9}{4} \\ = = >2x - \frac{7}{2} = \sqrt{ \frac{9}{4} } \\ = = > 2x - \frac{7}{2} = \frac{3}{2} \\ = = > 2x = \frac{3}{2} + \frac{7}{2} \\ = = > x = \frac{5}{2}$