6xsquare-3x-7
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Answer:
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\bold{\huge{SOLUTION:-}}SOLUTION:−
\begin{gathered}\\ \\\end{gathered}
\bf{Given:-}Given:−
→ Quadratic Equation: 6x²-7x-3
\begin{gathered}\\ \\\end{gathered}
\bf{Method \: \: of \: \: Solution:-}MethodofSolution:−
\begin{gathered}\\ \\\end{gathered}
→ Quadratic Equation: 6x²-7x-3
→ 6x²-7x-3
→ 6x²+2x-9x -3
→ 2x(3x+1)-3(3x+1)
→(3x+1)(2x-1)
For quadratic equation f(x) = (3x+1)(2x-1)
\begin{gathered}\\ \\\end{gathered}
f(x) = (3x+1)(2x-1) → 0
→ 3x+1 = 0
→ x = -1/3
→ (2x-1) = 0
→ x = 1/2
Now, Verify the Relationship between the Zeroes and Coefficient of the Polynomial!
\begin{gathered}\\ \\\end{gathered}
Sum of Zeroes = -b/a → -(Coefficient of x)/coefficient of x²
→ a+b = -b/a
-1/3 + 1/2 = 1/6 → -(Coefficient of x)/coefficient of x²
\begin{gathered}\\ \\\end{gathered}
Now,
\begin{gathered}\\ \\\end{gathered}
Product of Zeroes = c/a → (Constant term )/coefficient of x²
→ -1/3 × 1/2 = -1/6 → (Constant term )/coefficient of x²
\begin{gathered}\\ \\\end{gathered}
\bf{Hence,\: \: It's \: \: Proved}Hence,It
′
sProved
Step-by-step explanation:
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