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The equation ax^2 + bx + c = 0 where a, b and c are real and a is non-zero has discriminant D = b^2 – 4ac. Then,
- if D > 0 the equation has two real roots which are distinct;
- if D = 0 the equation has two real roots which are coincident;
- if D < 0 the equation has two roots which form a complex conjugate pair (advanced mathematics only).
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If the value of a discriminant is 0 what does that tell us about the type and number of roots?
The original equation, ax2 + bx + c = 0 has two equal roots whose value is -b/2a.
How does discriminant enable us to identify the number and type of solutions roots of a quadratic function?
If the quadratic equation is ax2 + bx + c = 0 then if the discriminant, b2 - 4ac is greater than 0: there are two real roots = [-b + or - sqrt(b2 - 4ac)]/2a equal to 0: there are two real coincidental roots, with the value -b/2a less than 0: there are two complex roots = [-b + or - i*sqrt(b2 - 4ac)]/2a where i is the imaginary square root of -1. The answer to the third case (discr<0) may be given as "there are no real roots".
What is the value of the discriminant for the quadratic equation d2-7d plus 8 equals 0?
b2 - 4ac72 - 4(1)(8)49 - 32= 17---------this tells us, by being positive, that there are two real roots in this quadratic .
What is the equation b squared minus 4ac known as?
Oh, dude, that's like the quadratic formula, you know? It's the one where you gotta plug in those numbers and hope for the best. So, yeah, b squared minus 4ac is just a fancy way of saying "let's find those roots, man."
Why are there slender roots and stout roots?
because of the gravity of the earth sampak to the moon that creates seed that when the seed is planted it creates roots and they call it slenderbecause it uses slenda that can make our body fit that can make our crush attract to us
