Question

1.
Find the roots of the following quadratic equations, if they exist, by the method of completing
the
square:
i
2x2 + x - 4= 0
ii. 4x² + 473x + 3 = 0
iii. x2 + 5 = -6x
iv.5x– 7x – 6= 0​

Answer 1

Answer:

i) x=0

ii)not possible

iii)x=-1 or -5

iv)x=-3

Step-by-step explanation:

i) 4-4+x=0 = x=0

ii) on multiplying 4 and 3 we get 12 and it is not possible that on multiplying numbers we will get 12 and the sum of those numbers will be 473.it will have imaginary roots.

iii) x^2+6x+5=0 = x^2+x+5x+5=0

= x(x+1)+ 5(x+1) = 0 = (x+1) (x+5) =0

x+1=0 = x=-1 and x+5=0 =x=-5

iv) 5x-7x-6=0 =-2x-6=0

= -6=2x =-3 =x