0
For a quadratic equation of the form y = ax^2 + bx + c where a, b and c are real and a is non-zero, b^2 - 4ac enables you to distinguish between the following three possible outcomes:
- b^2 - 4ac > 0 => the equation has two real roots which are different,
- b^2 - 4ac = 0 => the equation has two real root which are coincident,
- b^2 - 4ac < 0 => the equation has two roots which form a complex conjugate pair.
Add your answer:
Earn +20 pts
What is the equation for finding the discriminant?
The discriminant of the quadratic polynomial ax2 + bx + c is b2 - 4ac.
What is the value of b2-4ac equal to 0?
It is the value of the discriminant of a quadratic equation.
When the roots are equal of a quadratic equation?
Write the quadratic equation in the form ax2 + bx + c = 0 The roots are equal if and only if b2 - 4ac = 0. The expression, b2-4ac is called the [quadratic] discriminant.
What type of equation is b2-4ac?
6
What is the discriminant of y6x squire x-1?
y = 6x2 + x -1 ?? discriminant = b2 - 4ac = 12 - 4(6)(-1) = 25
How do you tell if a discriminant is positive negative or zero?
With the standard notation, If b2 < 4ac then the discriminant is negative If b2 = 4ac then the discriminant is zero If b2 > 4ac then the discriminant is positive
What is the formula of the discriminant?
b2-4ac.
How do you find the discriminant of a polynomial?
The discriminant of the quadratic equation ax2+bx+c = 0 is the value of b2-4ac When b2-4ac = 0 then there are 2 equal roots. When b2-4ac > 0 then there are 2 different roots. When b2-4ac < 0 then there are no roots at all.
The discriminant in the quadratic formula is the expression?
b2-4ac
What is the equation for finding the discriminant?
The discriminant of the quadratic polynomial ax2 + bx + c is b2 - 4ac.
What is the discriminant of a quadratic function?
The form of the quadratic is ax2+bx+c, so the discriminant is b2-4ac.
When can you say that he discriminant don't have roots?
If the discriminant b2-4ac of a quadratic equation is less than zero then it will have no roots
What is the expression b2 4ac under the radical sign in the quadratic formula?
The discriminant.
What is the value of b2-4ac equal to 0?
It is the value of the discriminant of a quadratic equation.
When the roots are equal of a quadratic equation?
Write the quadratic equation in the form ax2 + bx + c = 0 The roots are equal if and only if b2 - 4ac = 0. The expression, b2-4ac is called the [quadratic] discriminant.
Why if the discriminant is zero is there no solution to the quadratic equation?
But there will be a solution if the discriminant is equal to zero: Real and different roots if b2-4ac > 0 Real and equal roots if b2-4ac = 0 But no real roots if b2-4ac < 0 in other words the graph wont make contact with or intercept the x axis.
What is the discriminant of 4x2-2x plus 4 equals 0?
Discriminant = b2-4ac = (-2)2-(4*4*4) = -60
