Question

Equation
X^2-3X+5 =0 has real roots true or false​

Answer 1

Answer:

false

Step-by-step explanation:

it has imaginary roots because the discriminant is less than 0

Answer 2

Answer:

False

Step-by-step explanation:

Given:-

X^2-3X+5 =0

To find:-

State whether X^2-3X+5 =0 has real roots true or false

Solution:-

Given equation is X^2-3X+5 =0

On comparing with the standard quadratic equation ax^2+bx+c =0

a= 1

b=-3

c=5

If it has real roots then the discriminant must be greater than zero.

We know that

The discriminant of the quadratic equation is b^2-4ac

.=>(-3)^2-4(1)(5)

=>9-20

=>-11<0

The discriminant value is less than zero.

So it has no real roots.

Answer:-

The given statement is false.

Used formulae:-

ax^2+bx+c=0 is a quadratic equation then b^2-4ac is called the discriminant and it is denoted by D and it tells the nature of the roots of the given equation.

• If D> 0 then it has distinct and real roots.
• If D=0 then it has real and equal roots.
• If D<0 then it has no real roots i.e. It has imaginary roots.