Question

Solve the quadratic equation by factorization method
X² - 5x -36 = 0​

Answer 1

Step-by-step explanation:

x² - 5x -36 = 0

x² -9x + 4x - 36 = 0

x(x-9) + 4(x-9) = 0

(x+4)(x-9) = 0

x= -4,9

Answer 2

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

• Solve the quadratic equation by factorization method:- x² - 5x - 36 = 0

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

• x² - 5x - 36 = 0

• For factorisation of the above quadratic equation we have to use PSF method.

• P = - 36 * x² = - 36x²

• S = - 5x

• F = - 9x, 4x

• Solving,

• x² - 5x - 36 = 0

• x² - 9x + 4x - 36 = 0

• x ( x - 9 ) + 4 ( x - 9 ) = 0

• ( x - 9 ) ( x + 4 ) = 0

• x - 9 = 0 and x + 4 = 0

• $\boxed{\textsf{x \: \: = \: \: 9 \: \: , \: \: - \: 4}}$

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

• $\boxed{\therefore{\textsf{x \: \: = \: \: 9 \: \: , \: \: - \: 4}}}$

$\huge{\bf{\purple{\mathfrak{Extra \: Information:-}}}}$

• Factorisation of Quadratic equation is done by PSF method.

• P means product of x² and the numerical term.

• S means the middle term or the term with x.

• F means the factors of product and also the sum of them is equal to the S in PSF.

• Note:- Do check the signs while doing PSF method.