Question

X square-45x+324 factorisation

Answer 1

Answer:

(x-9)(x-36)

Step-by-step explanation:

using quadratic formula: -b±√b²-4ac

                                                2a

Answer 2

Answer:

${\green{\sf{\therefore factors\:are=(x-9)(x-36)}}}$

${\green{\sf{\therefore Value\:of\:x=9\:and\:36}}}$

Step-by-step explanation:

$\huge{\pink{\green{\underline{\red{\sf{SOLUTION-}}}}}}$

• In this question information given about quadratic eqn and we have to find the factor of this quadratic eqn.

• To solve this question there are three method to solve this but as per us user question first it will be solved as middle term spliting method.

$\to {x}^{2} - 45x + 324 =0 \\ \to {x}^{2} - 36x - 9x + 324 = 0\\ \to x(x - 36) - 9(x - 36) = 0 \\ \to (x - 9)(x - 36) = 0 \\ \bold{ \to factors \: are \: (x - 9)( x - 36)} \\ \\ \bold{ \to values \: of \: x \: are = 9 \: and \: 36}$

• Alternate method :

• Quadratic formula for finding values of x.

$\to {x}^{2} -45x + 324 = 0 \\ \\ \to d = {b}^{2} - 4ac \\ \to d = ({ - 45})^{2} - 4 \times 1 \times 324 \\ \to d = 2025 - 1296 \\ \bold{\to d = 729} \\ \\ \to x = \frac{ - b± \sqrt{d} }{2a} \\ \to x = \frac{ - ( - 45)± \sqrt{729} }{2 \times 1} \\ \to x = \frac{45±27}{2} \\ \to x = \frac{45 + 27}{2} \\ \to x = \frac{72}{2} \\ \bold {\therefore x = 36} \\ \to x = \frac{45 - 27}{2} \\ \to x = \frac{18}{2} \\ \bold { \therefore x = 9}$