In this equation 4(x^2 – 8x) = 4(13), what would the coefficient of x^2 be in this case? Would this be correct 4x1=4? If not, what would the correct answer be?
What is 4(13)?
This is what I am trying to solve for - x2 – 2x – 13 = 0
- x2 - 2x = 13
step (a): move the constant term to right side of the equation
4x2- 8x = 52
step (b): multiply each term of the equation by 4 times the coefficient of x2 –
in this case 1x4 = 4 (trying to solve this case what is the coefficient of x^2?)
4 x2- 8x + 4 = 56
step (c): square the coefficient of original x term and add it to both sides of equation – in this case -2^2 = -4
(trying to solve this case what is the coefficient of 2x^2?)
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Type your coefficients and click option Solve
To solve
4(x^2 – 8x) = 4(13)
I would proceed to divide each side by 4 to get
x²-8x-13=0
Since there are no rational factors here, we would use the quadratic formula:
x=(-b±√(b²-4ac))/2a
=(8±√((-8)²-4*1*(-13)))/2
=4±√(29)
X2-8X+23=0
To find the coefficient of x^2 in the equation 4(x^2 – 8x) = 4(13), you need to simplify the equation first. Let's go step by step:
1. Distribute 4 to the terms inside the parentheses on the left side of the equation:
4 * x^2 – 4 * 8x = 4 * 13
This gives us:
4x^2 – 32x = 52
2. Now, the coefficient of x^2 is the number multiplied by x^2. In this case, it is 4. So the coefficient of x^2 is indeed 4.
Your solution, 4x1 = 4, is not correct because it seems you multiplied the coefficient of x^2 (4) with the coefficient of x (-8). However, we are only interested in the coefficient of x^2, which is separate from the coefficient of x.