what is the discriminant of $3x^2 - 10x = -2$?\n○ 76\n○ 94\n○ 106\n○ 124
what is the discriminant of $3x^2 - 10x = -2$?\n○ 76\n○ 94\n○ 106\n○ 124
Answer
Explanation:
Step1: Rewrite in standard form
The quadratic equation (3x^2 - 10x = -2) can be rewritten in standard form (ax^2 + bx + c = 0) by adding 2 to both sides: (3x^2 - 10x + 2 = 0). Here, (a = 3), (b = -10), and (c = 2).
Step2: Use discriminant formula
The discriminant (D) of a quadratic equation (ax^2 + bx + c = 0) is given by the formula (D = b^2 - 4ac). Substitute (a = 3), (b = -10), and (c = 2) into the formula: [ \begin{align*} D&=(-10)^2 - 4\times3\times2\ &= 100 - 24\ &= 76 \end{align*} ]
Answer:
76