Question

Factorise :9x²–25x + 16 = 0.​

Answer 1

Answer:

If 9x²–25x + 16 = 0, then x = 1 and x= 16/9

Step-by-step explanation:

9x²–25x + 16 = 0 is in form of ax² + bx + c= 0

Step 1: Multiply a and c = 9 (16)= 144

Step 2: Identify value of b = -25

Factors of 144 whose sum is -25

These numbers are -9 and - 16

9x²–25x + 16 = 0

9x²–9x - 16x + 16 = 0  

9x (x - 1) - 16(x - 1) =0

(x -1)(9x - 16) =0

x - 1 = 0 and 9x - 16 = 0

x = 1 and 9x = 16

x = 1 and x= 16/9

Answer 2

Answer:

Hence required result will be 9x²–25x + 16 =x=    $1$ and x=$\frac{16}{9}$

Step-by-step explanation:

In accordance with the information provided in the question,

Given the data in question  9x²–25x + 16 = 0.​

We have to factorize the above equation

We are solving in the following way

Consider the given expression

As we get,

$9x^{2} -25x+16=0$

$9x^{2} -9x-16x+16=0\\9x(x-1)-16(x-1)=0\\(x-1)(9x-16)=0$

So,

$x-1=0\\x=1$

Then

$9x-16=0\\x=\frac{16}9}$

Hence required result will be 9x²–25x + 16 =x=   $1$ and $\frac{16}{9}$