using the formula find the roots of a quadratic equation 2xsquare-7x+3
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9
2x²-7x+3
product=6
sum=-7
by splitting middle term,
2x²-6x-1x+3
2x(x-3)-1(x-3)
(x-3)(2x-1)
[required answer]
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Answered by
4
Answer:
the roots are 3 and 1/2
Step-by-step explanation:
a=2 , b = -7, c = 3
⇒by quadratic formula
⇒ -b ±√b² - 4 ×a× c ÷ 2a
⇒ -(-7) ± √-7² - 4 ×2 × 3 ÷ 2×2
⇒ 7 ± √ 49 - 24 ÷ 4
⇒ 7 ±√25 ÷ 4
⇒ 7 ± 5 ÷ 4
∵ x = 7 + 5 ÷ 4 =3
x = 7 - 5 ÷ 4 = 2 ÷ 4 = 1/2
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