Question

Solve it :-
$\sf 18x^{2} +9x - 35= 0$

Answer 1

$\huge{\bf{\green{\mathfrak{Question:-}}}}$

• $\textsf{Sove :-}$

• $\sf 18x^{2} + 9x - 35 = 0$

$\huge {\bf{\orange{\mathfrak{Answer:-}}}}$

• $\sf 18x^{2} + 9x - 35 = 0$

• $\textsf{Using PSF method,}$

• $\sf P = - 35 * 18x^{2} = 630x^{2}$

• $\textsf{S = + 9x}$

• $\textsf{F = + 30x , - 21x}$

• $\sf 18x^{2} - 21x + 30x - 35 = 0$

• $\sf 3x (6x - 7) + 5 (6x - 7) = 0$

• $\sf (6x - 7) (3x + 5) = 0$

• $\sf 6x - 7 = 0\: ,\: 3x + 5 = 0$

• $\sf 6x = 7 \:, \:3x = - 5$

• $\sf x = \dfrac{7}{6} \:,\: \dfrac{- 5}{3}$

$\huge{\bf{\red{\mathfrak{Conclusion:-}}}}$

• $\boxed{\therefore{\sf x = \dfrac{7}{6}\: ,\: \dfrac{- 5}{3}}}$