Question

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Answer 1

Question:

4x² - x - 5

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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Answer 2

Explanation:

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