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Discriminant Formula In Travis
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Travis
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US-000286
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The discriminant of a quadratic equation ax2 + bx + c = 0 is in terms of its coefficients a, b, and c. i.e., Δ OR D = b2 − 4ac.
Answer and Explanation: D = B 2 − 4 A C = ( − 10 ) 2 − 4 ( 3 ) ( 2 ) = 100 − 24 = 76 .
Solution: As given, quadratic equation 3√3x2+10x+√3=0. Thus, discriminant of the given quadratic equation is 64.
A root is nothing but the x-coordinate of the x-intercept of the quadratic function. The graph of a quadratic function in each of these 3 cases can be as follows. Important Notes on Discriminant: The discriminant of a quadratic equation ax2 + bx + c = 0 is Δ OR D = b2 − 4ac.
The given equation is of the form ax2 + bx + c = 0 where a = 2 b = – 4 andc = 3. Therefore the discriminantb2 – 4ac = – 42 – 4 × 2 × 3 = 16 – 24 = – 8 < 0So the given equation has no real roots.
What is the value of the discriminant for the quadratic equation -3 = -x2 + 2x? Summary: The value of the discriminant for the quadratic equation -3 = -x2 + 2x is 16.
To find the discriminant given the quadratic equation f(x)=ax^2+bx+c, simply record the values of a, b, and c and then substitute them into the discriminant formula: d=b^2-4ac. This will give the value of the discriminant. This also tells the number of roots and whether or not the roots are real or imaginary.
The vertex form of the parabola y = a(x - h)2 + k. There are two ways in which we can determine the vertex(h, k). They are: (h, k) = (-b/2a, -D/4a), where D(discriminant) = b2 - 4ac.
The discriminant of a quadratic equation ax2 + bx + c = 0 is in terms of its coefficients a, b, and c. i.e., Δ OR D = b2 − 4ac.
The general vertex form is defined as y = a ( x − h ) 2 + k , where h is the x-coordinate of the vertex and k is the y-coordinate.