Question

Obtain the zeros of4root3x^2+5x-2root3and verify the relationship between the zeros and coefficients?

Answer 1

Step-by-step explanation:

f(x) =4√3x^2+5x-2√3

4√3x^2+8x-3x-2√3=0

4x(√3x+2)-√3(√3x+2)=0

(4x-√3)(√3x+2)=0

• 4x-√3=0
• 4x=√3
• x=√3/4

@=√3/4

• √3x+2=0
• √3x=-2
• x=-2/√3

B=-2/√3

relation

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@+B=-b/a

√3/4-2/√3=-5/4√3

3-8/4√3=-5/4√3

• -5/4√3=-5/4√3 verified

@×B=C/a

√3/4×-2/√3=-2√3/4√3

• -1/2=-1/2 verified

Answer 2

HeRe Is Your Ans ⤵

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➡4√3X² + 5X - 2√3

4√3x² + 8X - 3X - 2√3

4X (√3X + 2) - √3 (√3X + 2)

Hence , X = √3 / 4 Or X = - 2 / √3

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➡Verification :-

➡α + β = -B / A

√3 / 4 + (-2) / √3 = -5 / 4√3

3 - 8 / 4√3 = -5 / 4√3

-5 / 4√3 = -5 / 4√3

➡α × β = C / A

√3 / 4 × (-2) / √3 = - 2√3 / 4√3

-2√3 / 4√3 = -2√3 / 4√3

Hence , Verified

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