which expression gives the solutions of -5+2x^2=-6x
2+-\sqrt(4-(4)(6)(-5))
over 12
-5+-\sqrt(25-(4)(2)(6)
over -10
-6+-\sqrt(36-(4)(2)(-5))
over 4
6+-\sqrt(36-(4)(2)(-5))
over 4
if im reading that right it would be three because its divided by a positive and starts with -6?
correct
well, you know it's (-b±√(b^2-4ac))/2a
so which is it?
Well, I hate to burst your bubble, but none of those expressions give the correct solutions to -5+2x^2=-6x.
The correct expression to find the solutions would be:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 2, b = -6, and c = 5. So the correct expression would be:
x = (-(-6) ± √((-6)^2 - 4(2)(-5))) / (2(2))
Simplifying further:
x = (6 ± √(36 + 40)) / 4
x = (6 ± √76) / 4
Now, that's a much better expression to find the solutions. Though I must say, even with that expression in hand, solving the equation might be more pain than pleasure.
To find the solutions of the equation -5 + 2x^2 = -6x, you need to solve for x using various steps. Let's go through each expression you provided and see if they yield the correct solutions.
1. 2+-\sqrt(4-(4)(6)(-5))/12:
This expression seems to be a part of the quadratic formula. However, there is a mistake in the expression. The correct way to write it is:
(-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 2, b = -6, and c = -5.
Plugging in these values, the correct expression would be:
(-(-6) ± √((-6)^2 - 4(2)(-5))) / (2(2))
2. -5+-\sqrt(25-(4)(2)(6))/ -10:
Here, the expression seems to be another part of the quadratic formula. However, there is a mistake in this expression as well. The correct way to write it is:
(-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 2, b = -6, and c = -5.
Plugging in these values, the correct expression would be:
(-(-6) ± √((-6)^2 - 4(2)(-5))) / (2(2))
3. -6+-\sqrt(36-(4)(2)(-5))/4:
This expression is also part of the quadratic formula. Similar to the previous cases, there is a mistake in this expression as well. The correct way to write it is:
(-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 2, b = -6, and c = -5.
Plugging in these values, the correct expression would be:
(-(-6) ± √((-6)^2 - 4(2)(-5))) / (2(2))
4. 6+-\sqrt(36-(4)(2)(-5))/4:
Once again, this expression is part of the quadratic formula. However, there is a mistake in this expression. The correct way to write it is:
(-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 2, b = -6, and c = -5.
Plugging in these values, the correct expression would be:
(-(-6) ± √((-6)^2 - 4(2)(-5))) / (2(2))
Therefore, expressions 1, 2, 3, and 4 are incorrect due to the mistakes in their formulation. The correct expression to find the solutions of the equation -5 + 2x^2 = -6x using the quadratic formula is:
x = (-(-6) ± √((-6)^2 - 4(2)(-5))) / (2(2))