Question

factorise 5x²+14x-3=0​

Answer 1

$\huge{\underline{\underline{\mathfrak{Answer \colon}}}}$

Given Equation,

$\mathsf{5x {}^{2} + 14x - 3 = 0 }$

• Multiplying the constant term with x² coefficient,we get -15

Splitting the middle term with respect to the factors of -15

$\implies \: \sf{5x {}^{2} + 15x - x - 3 = 0} \\ \\ \implies \: \sf{5x(x + 3) - 1(x + 3) = 0} \\ \\ \implies \: \underline{\boxed{\sf{(5x - 1)(x - 3) = 0}}}$

Thus,the factors are (5x - 1) and (x - 3)

For obtaining the roots of the equation,

$\sf{5x - 1 = 0 \: or \: x - 3 = 0} \\ \\ \huge{\sf{x = \frac{1}{5} \: \: or \: \: 3}}$

Hence,the roots of the equation are 1/5 and 3

Answer 2

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