1.

Find the zero of the polynomial 4s²-4s+1 and verify the relationship between the zeros and the coefficient​

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\huge \fbox \blue{Answer:}

→ {45}^{2}  - 45 + 1 = 0

∴ {45}^{2}  - 25 - 25 + 1 = 0

∴25(25 - 1) - 1(25 - 1) = 0

⇒(25 - 1)(25 - 1) = 0

⇒s =  +1 /2

⇒ \textbf{sum \: of \: roots}  =  \frac{1}{2}  +  \frac{1}{2}  = 1...(1)

⇒ \textbf{sum \: of \: roots \: verified}  =  \frac{ - b}{a}  =  \frac{ - (4)}{4}  = 1...(2)

\textbf{also \: product \: of \: roots}  =  \frac{c}{a}  =  \frac{1}{4}

\textbf{Also}  \:  \left(  \frac{1}{2} \right) \]\left(  \frac{1}{2} \right) \] =  \frac{1}{4}

\\  \\  \\  \\  \\  \\ \sf \colorbox{gold} {\red(ANSWER ᵇʸ ⁿᵃʷᵃᵇ⁰⁰⁰⁸}



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