Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the discriminant of the quadratic equation 
7x^(2)-7x-3=0 ?

-133
35

-35
133

What is the discriminant of the quadratic equation 7x27x3=0 7 x^{2}-7 x-3=0 ?\newline133 -133 \newline3535\newline35 -35 \newline133133

Full solution

Q. What is the discriminant of the quadratic equation 7x27x3=0 7 x^{2}-7 x-3=0 ?\newline133 -133 \newline3535\newline35 -35 \newline133133
  1. Identify coefficients: The discriminant of a quadratic equation ax2+bx+c=0ax^2 + bx + c = 0 is given by the formula D=b24acD = b^2 - 4ac. We need to identify the coefficients aa, bb, and cc from the given equation.\newlineIn the equation 7x27x3=07x^2 - 7x - 3 = 0, a=7a = 7, b=7b = -7, and c=3c = -3.
  2. Calculate discriminant: Now we will calculate the discriminant using the formula D=b24acD = b^2 - 4ac with the identified coefficients.D=(7)24(7)(3)D = (-7)^2 - 4(7)(-3)
  3. Perform calculations: Perform the calculations within the discriminant formula. \newlineD=494(7)(3)D = 49 - 4(7)(-3)\newlineD=49+84D = 49 + 84
  4. Add numbers: Add the two numbers to find the value of the discriminant.\newlineD=49+84D = 49 + 84\newlineD=133D = 133

More problems from Transformations of functions