Question

(3) With the help of the flow chart given below solve the equation x + 2 13x + 3 = 0
using the formula.
Solution : compare equations
Find value
Write formula
Substitute
x? + 213x + 3 = 0 and
to solve
of b2 - 4ac
Cr? + bx + c = 0 find
quadratic
the values of a,b,c.
find roots.
equation.
values of
a,b,c and find roots​

Answer 1

Comparing x

2

+2

3

x+3=0 with ax

2

+bx+c=0

we get

a=1,b=2

3

and c=3

b

2

−4ac=(2

3

)

2

−4×1×3=12−12=0

Formula to solve a quadratic equation will be x=

2a

−b±

b

2

−4ac

⇒x=

2×1

−2

3

±

0

=

2

−2

3

=−

3

Thus, x=−

3

,−

3