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Given the trinomial 2×2 + 4x + 4, predict the type of solutions.?
The form of the roots of a quadratic expression is identified by the discriminant.
The discriminant of the quadratic ax² + bx + c is:
D = b² – 4ac
If D ≥ 0, there are two real valued roots.
If D = 0, there are two real, equal, rational which are sometimes erroneously interpreted as a single rational root.
If D > 0 and is a perfect square, there are two real, unequal, and rational roots.
If D > 0 and is not a perfect square, there are two real, unequal, and irrational roots.
if D < 0, there are two complex valued solutions which form a complex conjugate pair.
In this case, the quadratic is 2x² + 4x + 4, and the determinate is:
D = 4² – 4(2)(4) = 16 -32 = -16
Since the determinate is less than zero, the form of the roots is a conjugate pair of complex roots or two complex roots.
Discriminant – Wikipedia – In mathematics, the discriminant of a polynomial is a quantity that depends on the coefficients and determines various properties of the roots. It is generally defined as a polynomial function of the coefficients of the original polynomial.The discriminant of a quadratic is the expression inside the radical of the quadratic formula. Substitute in the values of. , , and. . Evaluate the result to find the discriminant. Tap for more steps… Simplify each term.The answer to the equation 2x^2+4x-2 is C. 32. A 22.5 cm straw fits diagonally inside an 18 cm high can of soft drink what is the radius of the can.
Find the Discriminant 2x^2+4x-2 | Mathway – These give rise to number fields of degree n, signature (r,s), Galois group S_n, and squarefree discriminant; we may also force the discriminant to be In , a more general construction of polynomials with squarefree discriminant is given without regard to a specific form of the polynomials.1 Cyclicity and discriminant. Denition 1.1. Let L/K be a nite separable eld extension, let OK be a Dedekind domain with K as eld of fractions, and let OL be the integral closure of OK in L. The fractional OL ideal. the action of the inertia group IP ⊂ GP on Ωi, there are fi orbits of length ei each.The discriminant is 88 which means that the given quadratic equation has two different solutions for x. The discriminant is 1. What type of polynomial is 2×2 6x plus 4? Trinomial.
Given the trinomial 2x*2 + 4x 2, what is the value of… – Brainly.com – Online algebra equations solver to find discriminant value for the given polynomial quadratic equation. Where, Δ = Discriminant Value a = Coefficient of x 2 b = Coefficient of x c = Constant. Solving for discriminant value of any polynomial equation is made easier with this online algebra…3x^2 − 6x + 5; in the form of ax^2 +bx+c; Discriminant = b^2 -4ac Discriminant =6^2 -4*3*5 = 36 -60 =-24; Negative Discriminant; => You have no real roots. You have 2 complex roots of the form a+i*b; Roots are: Their product is 5/3; Note: 3x^2 − 6…The formula for the discriminant of a trinomial is also classical; the following lemma is a special case of [4, Chapter 12, equation (1.38)]. First we give two lemmas showing that certain divisibilities by square factors depend only upon the residue classes of the variables to particular moduli.