Question

solve the following
quadratic equations
by facrorization 3x2 - 14 - 5 = 0​

Answer 1

Given -

• Quadratic equation = 3x² - 14x - 5 = 0

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Solution -

We will solve the the given equation by factorisation.

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$\tt\dashrightarrow{}$ 3x² - 14x - 5 = 0

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$\tt\dashrightarrow{}$ 3x² - 15x + x - 5 = 0

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$\tt\dashrightarrow{}$ 3x(x - 5) + 1(x - 5) = 0

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$\tt\dashrightarrow{}$ (3x + 1) (x - 5) = 0

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For finding the solution

$\begin{lgathered}\begin{array}{c|c}\sf 3x + 1 = 0&\sf x - 5 = 0\\\\\sf 3x = -1&\bf x = 5\\\\\bf x = \dfrac{-1}{3}& \end{array}\end{lgathered}$

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Hence,

• Zeroes of the given quadratic equation are $\sf{\dfrac{-1}{3}}$ and $\sf{5}$.

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Answer 2

✭ Correct Question :-

• Solve the following quadratic equations by factorization 3x² - 14x - 5 = 0

★ Given equation :-

• 3x² - 14x - 5 = 0

★ To find :-

• Value of x by factorisation .

★ Solution :-

• 3x²- 14x - 5 = 0

• 3x² - 15x + x - 5 = 0

• 3x ( x - 5) + 1 ( x - 5 ) = 0

• (3x + 1 ) ( x - 1 ) = 0

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• (3x + 1 )=0 ︱ ( x -1 )=0

ㅤ‎ㅤㅤ‎ㅤㅤ‎ㅤㅤ‎

• x = -1/3 ㅤ‎︱x = 1

∴, -1/3 and 1 are the solutions of the equation.