What is the answer to x2 9x 20 0?
The roots of the equation x2−9x+20=0 are 4,5.
A quadratic equation with real or complex coefficients has two solutions, called roots.
Example | ||
---|---|---|
Problem | Solve using the Square Root Property. x2 = 9 | |
x2 = 9 x = x = ±3 | Since one side is simply x2, you can take the square root of both sides to get x on one side. Don't forget to use both positive and negative square roots! | |
Answer | x = ±3 (that is, x = 3 or −3) |
The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
Any number that makes the equation true is called a solution of the equation. It is the answer to the puzzle!
The coefficients are the numbers alongside the variables. The constants are the numbers alone with no variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur.
Experts say that depending on where in the world you learned math determines how you can solve the problem, there is the PEMDAS method and the BODMAS method. With that in mind, the answer is 1. The answer also is 16.
There are commonly two solutions to quadratic equations because the solutions are where the parabola crosses the -axis. If the vertex is below the -axis and the parabola opens up, the graph will cross twice, and if the vertex is above the -axis and the parabola opens down, the graph will, again, cross twice.
x2 can be calculated by multiplying the value of x with itself. Example 1: Let's say x represents the number 7. x 2 = 7 × 7 = 49 . Example 2: x squared plus x squared equals 2 times x squared.
x2−9x+20=(x2−5x)+(−4x+20)=x(x−5)−4(x−5)=(x−4)(x−5).
What is the factor of x2 9x 20?
Summary: The factored form of the polynomial x2 + 9x + 20 is (x + 5)(x + 4).
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