Question

Write the discriminant of the quadratic equation x2 -8x+15=0

Answer 1

Answer:

Discriminant of given equation is 4.

Step-by-step explanation:

Given equation is,

• x² - 8x + 15

In order to find the discriminant of any quadratic equation, we use the formula:

• D = b² - 4 a c

Here,

• D = Discriminant
• b = coefficient of x in equation
• a = coefficient of x² in equation
• c = constant term in equation

In the given equation,

• Coefficient of x ( b ) = -8
• Coefficient of x² ( a ) = 1
• Constant term ( c ) = 15

We are asked to find the value of discriminant.

Apply the above discussed formula for finding discriminant !

→ D = b² - 4 a c

→ D = (-8)² - 4 ( 1 ) ( 15 )

→ D = 64 - 60

→ D = 4

So the required value of discriminant is 4.

Know more :-

Discriminant helps us to find the nature of roots of the given quadratic equation.

If value of D is less than 0, implies that no real roots exists.

If value of D is great than 0, implies that two distinct real roots exists for given equation.

If value of D is equal to 0, implies that two equal roots exists for given equation.