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To find the zeros of this quadratic function, y= 3x^2 + 6x - 9, we must equal y to 0. So we have the quadratic equation:
3x^2+6x-9 = 0, where a = 3, b = 6, and c = -9
The quadratic formula:
x = [-b ± √(b^2 - 4ac)]/(2a) substitute what you know into this formula;
x = [-6 ± √(6^2 - 4 x 3 x -9)]/(2 x 3)
x = [-6 ± √(36 +108)]/6
x = (-6 ± √144)/6
x = (-6 ± 12)/6 Simplify: mulyiply by 1/6 both the numerator and the denominator;
x = -1 ± 2
x = -1 + 2 or x = -1 - 2
x = 1 or x = -3
So solutions are -3 and 1.
If you check the answers by plugging them into the equation, you will see that they work.
What else can I help you with?
Can anyone help with this problem solve Quadratic problem 3x2 4X -2 0?
If you mean 3x2+4x-2 = 0 then it can be solved by means of the quadratic equation formulla
Solve using the quadratic formula 3x2-7x-3 equals 0?
-b +/- root b2 - 4ac / 2a(a = 3, b = -7, c = -3)7 +/- root -72 - 4 x 3 x -3 / 2 x 37 +/- root 49 + 36 / 67 +/- root 85 / 6
3x² -2x -2 factorize?
3x2-2x-2 = (3x-3.645751311)(x+0.5485837704) when factored with the help of the quadratic equation formula
State the discriminant of the quadratic 3x2-4x plus 4 equals 0?
The discriminant is -32.
Using the discriminant determine the number and type of solutions for 3x2-6x plus 30?
6^2 -4(3*30) = -96 meaning that the given quadratic expression has no real roots
How do you solve 3x2 x-4 equals 0?
3x2+x-4 = 0 (3x+4)(x-1) = 0 Solutions: x = 1 and x = -4/3 By using the quadratic equation formula.
Is there a formula that always give you 7?
If you set your equation to equal 7, then you can move 7 to the other side of the equation, and solve for x. This/these values will always result in 7. e.g. 3x2+11x+6=7 3x2+11x+6-7=7-7 3x2+11x-1=0 Factor using the quadratic formula and solve for x.
What expressions appear as a step in solving 3x2 equal x-5 using the quadratic formula?
The following is the answer:
How would you solve 3x2 24x 48 equals 0?
By using the quadratic equation formula which will work out as: x = 4- the square root of 32 and x = 4+the square root of 32
Can you solve 3x2-x equals -1?
Set the equation equal to zero. 3x2 - x = -1 3x2 - x + 1 = 0 The equation is quadratic, but can not be factored. Use the quadratic equation.
How do you solve 3x squared plus x minus 14?
Do you mean: 3x2+x-14 = 0 If so the solutions are: x = 2 and x = -7/3 using the quadratic equation formula
Can anyone help with this problem solve Quadratic problem 3x2 4X -2 0?
If you mean 3x2+4x-2 = 0 then it can be solved by means of the quadratic equation formulla
After being rearranged and simplified which of the following equations could be solved using the quadratic formula?
9x+3x2=14+x-1 AND 2x2+x2+x=30
How would you solve this question 3x2 -7x x equals - 4?
If you mean 3x2-7x+x = -4 then there are no solutions because the discriminant of the quadratic equation is less than zero.
Is 3x - 2 equals -3x2 a quadratic equation?
Yes. (Assuming that -3x2 is the best representation of 3x2 that this browser will allow.)
How do you solve 3x2 equals -9 by quadratic formula?
If you are at a level that you need to ask this question then the likelihood is that you have made a mistake, since you are not likely to have learned about imaginary (or complex) numbers. For the quadratic formula, first rewrite the equation as: 3x2 + 0x + 9 = 0 Then a = 3, b = 0 and c = 9 So x = [0 ± √(02 - 4*3*9)]/(2*3) = √-108/6 = √-3 = i√3 where i is the imaginary square root of -1.
Solve using the quadratic formula 3x2-7x-3 equals 0?
-b +/- root b2 - 4ac / 2a(a = 3, b = -7, c = -3)7 +/- root -72 - 4 x 3 x -3 / 2 x 37 +/- root 49 + 36 / 67 +/- root 85 / 6
