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I am not sure whether I understood correctly, but a quadratic formula can give up to two results. In certain cases, both are correct, in other cases, you may have to reject (for example) a negative result, and accept only the positive result. Likewise, complex answers may make sense in some cases, and not in others (so if you have two complex answers, you may have to say "no solution"). In any case, you have to compare the answers with the original problem, to see whether the answers make sense.
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In mathematics how does one use the quadratic formula?
The Quadratic formula in mathematics is used to solve quadratic equations in algebra. The simplest way to solve these equations is to set each of the factors to zero and then solve each factor separately.
What is the history of quadratic equations?
at first the first person to solve the quadratic equation is from the middle kingdom of Egypt. Greeks were also able to solve the quadratic equation but that was on the unproper way. Greeks were able to solve the quadratic equation by geometric method or equlid's method. equlid's method contains only three quadratic equation. dipohantus have also solved the quadratic equations but he have solved by giving only two roots any they both were only of positive signs.After that arbhatya also gave the two formulas for quadratic equation but the bentaguptahave only accepted only one of them after theat some of the Indian mathematican have also solved the quadratic equation who gave the proper definations and formula and in this way quadratic equation have been formed. Prabesh Regmi Kanjirowa National School
How can you tell which way a parabola will open just by looking at an equation?
You can tell by the presence or absence of a negative number for a in the form ax2+bx+c. So, for example, 4x2+2x+1 opens upwards, while -4x2+2x+1 opens downwards.
What are two consecutive integers have a product of 182?
One way to find out is write a formula. Let N and N+1 be the two integers, then N(N+1) = 182 N^2 + N - 182 = 0 This is a quadratic equation. If the factors are not obvious, (N -13)(N + 14) , then use the quadratic formula to find N. The factors tell you there are two possible solutions for N; 13 and -14. Now add 1 to these to get the two consecutive integers. 13 & 14 will work and -14 & -13 will work.
How can you tell which way a parabola wil open just by lookig at the equation?
If you have the equation in the form y = ax^2 + bx + c (where "^2" means squared), if "a" is positive, the parabola opens upwards; otherwise it opens downwards.
