Question

Find the root of the following quadratic equation
16x²-10x-9=o by factorisation method​

Answer 1

Answer: 9/8, -1/2

Step-by-step explanation:

$16x^{2} - 10x - 9 = 0$. Divide the equation by 16.

$x^{2} - (10x/16) - (9/16) = 0$

$x^{2} - (9/8 - 1/2)x - 9/16 = 0$ because (9/8)-(1/2) = (18-8)/16 = 10/16.

$(x-9/8)(x+1/2) = 0$

So, x = 9/8, -1/2