Question

The roots of 3x^2+4x-7=0 are
1) rational and equal
2) irrational
3) rational and not equal
4) imaginary​

Answer 1

Answer:

1.rational and equal

Step-by-step explanation:

Because if u Simplify the ans is =1

So 1 is rational number

Hope it helps u frnd

Answer 2

Answer:

The roots of this equation will be imaginary.

Explanation:

To find the roots of any quadratic equation, we can use quadratic formula but if we want to find the nature of roots we just have to find the discriminant.

There are three cases related to the nature of roots:

• if discriminant is less than zero the roots will be imaginary and unequal
• if discriminant is equal to zero, the roots will be equal.
• if the discriminant is more than zero, the roots will be real and distinct.

The equation is as follows:

$3 {x}^{2} + 4x - 7 = 0$

where a = 3 , b = 4 , c = -7

the quadratic formula is:

$d = {b}^{2} - 4ac$

putting these values in the formula, we will be able to find the discriminant and then the nature of roots.

D = (4)² - 4(3) + (-7)

D = 16 - 12 -7

D = 16 - 19

D = -3

D < 0

so the roots will be imaginary.