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35k^2 - 22k + 3 = 0
The factors of 35 are 1, 5, 7, 35
The factors of 3 are 1, 3
We need to multiply two factors which add to a sum of 22
As we can see, 3*5 + 1*7 will add to 22.
However we need -22, which is easily fixed by changing the signs of two of the factors: -3*5 + -1*7 = -22
so to factor the equation would be
(7k-3)(5k-1)=0
To find solutions to the equation, set each expression in the equation equal to 0.
7k-3=0
7k=3
k=3/7
5k-1=0
5k=1
k=1/5
So, k= 3/7 or 1/5
What else can I help you with?
How do you solve 0 equals x squared minus ten x plus 16?
Solve using the quadratic formula
Solve the quadratic equation using factoring 9x2 - 16 equals 0?
(3x+4)(3x-4)=0 x=±4/3
How do you solve x squared minus ten x plus six equals zero?
It can be solved by using the quadratic equation formula.
What is the solution to 4 equals 2b plus b squared?
To find the solution to this equation, you need to rearrange the terms and solve for the variable. 4 = 2b + b^2 can be rewritten as b^2 + 2b - 4 = 0. You can then solve this quadratic equation by factoring, completing the square, or using the quadratic formula.
How do you solve 0 equals x squared plus x - 15?
x2+x-15 = 0 Using the quadratic equation formula: x = 3.405124838 or x = -4.405124838
How do you solve 0 equals x squared minus ten x plus 16?
Solve using the quadratic formula
Solve the quadratic equation using factoring 9x2 - 16 equals 0?
(3x+4)(3x-4)=0 x=±4/3
How do you solve x squared minus ten x plus six equals zero?
It can be solved by using the quadratic equation formula.
How do you solve this equation to the nearest hundredth x squared -7x -12 equals 0?
Using the quadratic equation formula: x = 8.42 or x = -1.42
What is the solution to 4 equals 2b plus b squared?
To find the solution to this equation, you need to rearrange the terms and solve for the variable. 4 = 2b + b^2 can be rewritten as b^2 + 2b - 4 = 0. You can then solve this quadratic equation by factoring, completing the square, or using the quadratic formula.
How do you solve 0 equals x squared plus x - 15?
x2+x-15 = 0 Using the quadratic equation formula: x = 3.405124838 or x = -4.405124838
How do you solve 2x squared - 36x by using a quadratic formula?
-34
What does quadratic equations using the factoring method means?
It means you are required to "solve" a quadratic equation by factorising the quadratic equation into two binomial expressions. Solving means to find the value(s) of the variable for which the expression equals zero.
When is it easier to solve a quadratic equation by factoring than to solve it using a table?
It is easier to solve a quadratic equation by factoring when the equation can be expressed as a product of two binomials that easily yield integer roots. This method is often quicker for simpler quadratics with small coefficients. In contrast, using a table to find solutions can be more cumbersome and time-consuming, particularly for equations where the roots are not integers or when the quadratic is more complex. Thus, factoring is preferred when the equation allows for straightforward factorization.
How do you do this problem in factoring special cases...m squared minus 24 m plus 144?
(x-12)2 using perfect square
Solve x squared 2 equals 64 using square root property?
x^2 = 64 x = +,- square root of 64 = +,- 8. Thus, x = -8 or x = 8
How can you Solve using factoring 35k squared -22k plus 3 equals 0?
35k2 - 22k + 3 = 0 35k2 - 15k - 7k + 3 = 0 5k(7k - 3) - (7k - 3) = 0 (5k - 1)(7k - 3) = 0 5k -1 = 0 or 7k - 3 = 0 5k = 1 or 7k = 3 k = 1/5 or k = 3/7
