Create a quadratic equation that can be solved by factoring. Give the factored answer.

1 answer:

3 0

Quadratic eq standard form is

Ax^2+bx+c=0

a, b and c are known values.
a can't be 0."x" is the variable

lets take an example

x^2 − 4x+2 = 0

x^2-2x-2x+2=0
x(x-2) - 1(x-2)=0

x=1,2

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Dec 23, 8:45:08 PM

Gemiola [76]

Answer:

3, 5, 7

Step-by-step explanation:

Let the first of the three positive consecutive odd numbers be $x$ .

Now, the second odd number = $x+2\\$

And, the third odd number = $x+4$

As per question statement, the multiplication of the first and third odd number is 9 lesser than the 6 times the second integer.

Writing the equation, we get:

$x(x+4) = 6(x+2)-9\\\Rightarrow x^{2} +4x=6x+12-9\\\Rightarrow x^{2} +4x-6x = 3\\\Rightarrow x^{2} -2x - 3=0\\\text{Solving the above equation by factorization method:}\\\Rightarrow x^{2} -3x +x - 3=0\\\Rightarrow x(x -3) + 1(x - 3)=0\\\Rightarrow (x -3) (x+ 1)=0\\\Rightarrow x =3, -1$

As, we got a quadratic equation, so we have two solutions here.

One is positive integer and other one is negative.

So, solution is $x=3$

First number is 3.

Second number is 3 + 2 = 5

Third number is 5 + 2 = 7

3 0

3 years ago

4 out of 12 family rides are for young riders under the age of 5. What fraction has the same value as 4/12? 1/2 1/3 1/4 1/5 1/6

inna [77]

The answer would be 1/3

3 0

3 years ago

Read 2 more answers

Find an equation of the circle that has center (-1,1 ) and passes through (1,-6)

Ivahew [28]

Answer:

$(x+1)^2+(y-1)^2=53$

Step-by-step explanation:

The standard form for the equation of a circle is $(x-h)^2+(y-k)^2=r^2$ , where h is the x coordinate of the center, k is the y coordinate, and r is the radius. To find the radius of this circle, we can simply find the distance from the center to any of the points on its circumference. Using the distance formula, you know that the distance from (-1,1) to (1,-6) is: