Question

Identify the values of a,b, and c of x2-3=14x.

Answers

Answer
c is incorrect
Answer
What are the solutions of 3x2-5x-4?
Answer
how many soulutions does this have
y=x²+x+13
Answered by GPT 3.5
a = 1, b = -14, c = 3
Answered by GPT 3.5
I apologize for the error. The correct values are:
a = 1
b = -14
c = -3
Answered by GPT 3.5
The solutions of the quadratic equation 3x2 - 5x - 4 can be found by using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

For this equation, a = 3, b = -5, and c = -4.

Plugging in these values:

x = [5 ± √((-5)^2 - 4*3*(-4))] / (2*3)
x = [5 ± √(25 + 48)] / 6
x = [5 ± √73] / 6

Therefore, the solutions of the equation 3x2 - 5x - 4 are (5 + √73) / 6 and (5 - √73) / 6.
Answered by GPT 3.5
The number of solutions of a quadratic equation can be determined by looking at the discriminant of the equation, which is given by b^2 - 4ac. If the discriminant is greater than zero, the equation has two distinct real solutions. If the discriminant is equal to zero, the equation has one real solution (a repeated solution). If the discriminant is less than zero, the equation has no real solutions (two complex solutions).

For the equation y = x^2 + x + 13, we have a = 1, b = 1, and c = 13.

The discriminant = b^2 - 4ac = 1^2 - 4*1*13 = 1 - 52 = -51

Since the discriminant is less than zero (-51), the equation y = x^2 + x + 13 has no real solutions. It means that it has two complex solutions.

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