† Question :- The quadratic equation 2x²– 8x + p = 0 has two distinct real roots. What is the highest possible integer value of p ? \large \dag† Answer :- \begin{gathered}\red\dashrightarrow\underline{\underline{\sf \green{Highest \: Possible \: Integer }} }\ \\ \green{\underline{\underline{\sf Value \: of \: p \: is \: 7 }}} \\\end{gathered} ⇢ Highest Possible Integer Valueofpis7 \large \dag† Step by step Explanation :- We Know that If the roots are real & unequal of any quadratic equation ax² + bx + c then its discriminant is greater than zero i.e. \begin{gathered}\large \bf \red\bigstar \: \: \orange{ \underbrace{ \underline{ \blue{b^2-4ac > 0 }}}} \\ \end{gathered} ★ b 2 −4ac>0 Here We Have, 2x²– 8x + p = 0 has two distinct real roots Therefore, \begin{gathered} :\longmapsto \rm {( - 8)}^{2} - 4 \times 2 \times p > 0 \\ \end{gathered} :⟼(−8) 2 −4×2×p>0 \begin{gathered}:\longmapsto \rm 64 - 8p > 0 \\ \end{gathered} :⟼64−8p>0 \begin{gathered}:\longmapsto \rm 8p < 64 \\ \end{gathered} :⟼8p 0, then the roots are real & unequal. ● If b² - 4ac < 0, then the roots are imaginary
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the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.
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