Which of the following cannot be solved using the quadratic formula?
A. x^2-x+3=0
B. x^2=9
C. 2x+3=0
D. -x^2=-x
what do you think ?
I just answered it for you in your previous post
To determine which of the given quadratic equations cannot be solved using the quadratic formula, we need to first understand the conditions under which the quadratic formula is applicable. The quadratic formula is used to solve equations in the form ax^2 + bx + c = 0, where a, b, and c are constants, and a ≠ 0.
Now let's go through each equation one by one:
A. x^2 - x + 3 = 0:
This equation is in the form ax^2 + bx + c = 0, where a = 1, b = -1, and c = 3. Since a ≠ 0, we can use the quadratic formula to solve it. Therefore, option A can be solved using the quadratic formula.
B. x^2 = 9:
This equation is in the form ax^2 + c = 0, where a = 1 and c = -9. This is a special case where b (the coefficient of x) is 0. In this scenario, we don't need to use the quadratic formula. We can simply take the square root of both sides to solve for x. Hence, option B can be solved without the quadratic formula.
C. 2x + 3 = 0:
This equation is not in the form ax^2 + bx + c = 0. It is a linear equation, which is already in a simple form that can be solved using basic algebraic methods such as isolating x. Therefore, option C can be solved without the quadratic formula.
D. -x^2 = -x:
This equation is in the form ax^2 + bx + c = 0, where a = -1, b = 1, and c = 0. Since a ≠ 0, we can use the quadratic formula to solve it. Therefore, option D can be solved using the quadratic formula.
In summary, out of the provided options, none of them cannot be solved using the quadratic formula.