Question

To identify the nature of root of the quadratic equation, complete the
following activity
Activity :- 3x2 - 5x+7=0
Here a-3, b=-5, c=7
b - 4ac =? - 4 ×3×7
= ? -84
= ?
b2 - 4ac <0
Nature of roots in ?​

Answer 1

Answer:

I hope this is correct ans

Answer 2

Step-by-step explanation:

The given quadratic equation is

$\quad 3x^{2}-5x+7=0$

Compare the above equation with the general quadratic equation $ax^{2}+bx+c=0$, we get

• $a=3,b=-5,c=7$

If $D$ be the discriminant, then

$\quad D=b^{2}-4ac$

$\Rightarrow D=(-5)^{2}-4*3*7$

$\Rightarrow D=25-84$

$\Rightarrow D=-59$

Since $D<0$, the roots of the given equation will be complex.

Answer: Complex roots

FORMULA:

• If $D=0$, we will get equal roots.

• If $D>0$, we will get two real roots.

• If $D<0$, we will get two complex roots.