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Given the trinomial 3x2 - 6x + 5, what is the value of the discriminant?
-66, -24, 8, 96
Solution:
Given: Trinomial is 3x2 - 6x + 5
The discriminant value of a quadratic equation is the expression that is present inside the radical of the quadratic formula. It determines the nature of the roots of the quadratic equation.
Δ = b2 - 4ac
General form of quadratic equation is ax2 + bx + c.
By comparing coefficients, we get
a = 3, b = -6, c = 5
Substituting these values
Δ = (-6)2 - 4 × 3 × 5
= 36 - 60
= -24
Therefore, the value of the discriminant is -24.
Given the trinomial 3x2 - 6x + 5, what is the value of the discriminant?
Summary:
The value of the discriminant for the given trinomial 3x2 - 6x + 5 is -24.
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