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Question:
4x² - x - 5
Step-by-step explanation:
⟹ x = -b ± √(b² - 4ac)/2a
⟹ x = -1 ± √[1 - (4) (4) (-5)]/2(4)
⟹ x = -1 ± √[1 - (-80)]/8
⟹ x = -1 ± √[1 + 80]/8
⟹ x = -1 ± √[81]/8
⟹ x = -1 ± 9/8
Either:
⟹ x = 1
or:
⟹ x = - 5/4
Verification:
⟹ α + β = -b/a
⟹ 1 + -5/4= -(1)/4
⟹ 4 - 5/4 = -1/4
⟹ -1/4 = -1/4
Now:
⟹ αβ = c/a
⟹ 1 × -5/4 = -5/4
⟹ -5/4 = -5/4 Ans.
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