Question

2x² +x - 3 = 0 by quadratic formula​

Answer 1

given :-

2x² + x - 3

standard form of quadratic equation = ax² + bx + x

here a = 2, b = 1 and c = -3

D = (b)² - 4ac

= (1)² - 4(2)(-3)

= 1 - 4(-6)

= 1 + 24

= 25

since D is positive, it has 2 real and distinct roots.

now, x = (-b ± √D)/2a

➡ x = (-1 ± √25)/(2 × 2)

➡ x = (-1 ± 5)/4

➡ x = (-1 + 5)/4, x = (-1 - 5)/4

➡ x = 4/4 = 1, x = -6/4 = -3/2

hence, the roots of the quadratic equation are 1 and -3/2

Answer 2

Answer:

X=1 or X=-3/2

Step-by-step explanation:

a=2,b=1,c=-3

by quadratic formula

x=-b±√(b²-4ac)/2a

x=-1±√(1)²-4(2)(-3)/2(2)

x=-1±√(1+24)/4

x=-1±√25/4

x=-1±5/4

x=-1+5/4 or -1-5/4

x=4/4 or -6/4

x=1 or x=-3/2

THANK YOU