Question

If 16x²-24x+m=0
Find out the value of m

Answer 1

Answer: 16x^2 - 24x + m

(4x)^2 -2(4x)(3) + 9                     [24= 4*3*2]          [a+b= a^2 + b^2 + 2ab][

[4x + 3]^2

Therefore, m=3

Answer 2

Answer:

$4$

Step-by-step explanation:

$16 {x}^{2} - 24x + m = 0$

$8x(2x - 3) + m = 0$

$8x(2x - 3) = - m$

$8x = - m \: \: or \: \: 2x - 3 = - m$

$x = - \frac{m}{8}$

$2( \frac{ - m}{8} ) - 3 = - m$

$\frac{ - m}{4} - 3 = - m$

$\frac{ - m - 12}{4} = - m$

$- m - 12 = - 4m$

$4m - m = 12$

$3m = 12$

$m = \frac{12}{3} = 4 \: \: ans$