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What is the discriminant and how is it used to solve equations using the quadratic formula?
It is not to solve so much as to see the number of solutions and whether there is a real solution to the equation.
b2 - 4(a)(c)
A positive answer = two real solutions.
A negative answer = no real solution ( complex solution i )
If zero as the answer there is one real solution.
What else can I help you with?
How do you solve 16x2 - 24x plus 7 equals 0?
If you can't factor it easily, use the quadratic formula.
How do you solve equations with fraction?
You solve equations with fractions the same way you solve other equations. You perform various arithmetic operations on both sides of the equals sign until you get the result you want.
X squared - 4x - 21?
-17
Which of the following are techniques you have learned so far to solve a quadratic equation?
Solve by factoring. Solve by taking the square root of both sides.
How do you solve for x in the equation x2-2x-2 equals 0?
To solve for x in the equation x2 - 2x - 2 = 0, use the quadratic equation, that is: For 0 = ax2 + bx + c, the roots (values of x) are defined as: x = [-b +/- sqrt(b2 - 4ac) ] / 2a (If that's hard to understand, google "quadratic formula"). It works out to x = 2.73, -0.73.
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 quadratic formula for?
The quadratic formula is used to solve the quadratic equation. Many equations in which the variable is squared can be written as a quadratic equation, and then solved with the quadratic formula.
Why do you use square roots to solve quadratic equations?
Because it's part of the quadratic equation formula in finding the roots of a quadratic equation.
How do you solve complex cases of quadratic equations?
If the discriminant - the part under the radical sign in the quadratic formula - is negative, then the result is complex, it is as simple as that. You can't convert a complex number to a real number. If a particular problem requires only real-number solutions, then - if the formula gives complex numbers - you can state that there is no solution.
How do you solve 12x squared plus 9x plus 15 equals 0 with quadratic formula?
It can't be solved because the discriminant of the given quadratic equation is less than zero meaning it has no real roots.
How do you solve quadratic equations by graphing?
josh hutcherson
What are the conditons that are met before you can use the quadratic formula?
Only that the equation that you are trying to solve is a quadratic, that is to say, the powers of the variable are 2,1 and 0 (or any constant increment of these three numbers). Non-negativity of the discriminant is NOT a condition because you can still use the quadratic formula and get roots that are in the complex domain.
How did the Babylonians solve quadratic equations?
1+1=2
How do you solve simultaneous quadratic equations?
Graphically might be the simplest answer.
What is the quadratic formula used for?
The quadratic formula is used all the time to solve quadratic equations, often when the factors are fractions or decimals but sometimes as the first choice of solving method. The quadratic formula is sometimes faster than completing the square or any other factoring methods. Quadratic formula find: -x-intercept -where the parabola cross the x-axis -roots -solutions
Which 5 equations are solving with 4 steps?
To solve equations effectively in four steps, consider these types: Linear Equations: Isolate the variable by adding or subtracting terms, then divide or multiply to solve. Quadratic Equations: Rearrange to standard form, factor or use the quadratic formula, simplify, and solve for the variable. Rational Equations: Clear the denominators, simplify the resulting equation, isolate the variable, and solve. Exponential Equations: Take the logarithm of both sides, isolate the variable, and simplify to find the solution. Systems of Equations: Use substitution or elimination to reduce the system, isolate one variable, and solve for it.
Why cant the zero product property be used to solve every quadratic equation?
If the discriminant of a quadratic equation is less than zero then it will not have any real roots.
