Mathematics, 29.01.2020 20:05 Emptypockets451

Solve the equation 4x^2-12x=7 algebraically for x.

Answers: 2

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  4x² - 12x = 7
  - 7 - 7
4x² - 12x - 7 = 0
  4x² + 2x - 14x - 7 = 0
2x(2x) + 2x(1) - 7(2x) - 7(1) = 0
  2x(2x + 1) - 7(2x + 1) = 0
  (2x - 7)(2x + 1) = 0
2x - 7 = 0 or 2x + 1 = 0
+ 7 + 7   - 1 - 1
2x = 7 2x = -1
2 2 2 2
x = 3¹/₂     or     x = ⁻¹/₂

Answer from: issaaamiaaa15

First subtract 7 from each side of the equation.

4x^2 - 12x - 7 = 0.

Now we can substitute terms into our friend the quadratic equation, which you should memorize. Or we can try a few simple factors. 7 is prime, so to make -7 one number must be positive and one must be negative.

The first pair I tried, (2x + 1)(2x - 7) yield a middle term of -12x. Therefore, setting each to zero yields: x = -1/2, or x = 7/2.

Answer from: Quest

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

Answer from: Quest

What the heck i didn’t know

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