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Using the quadratic formula:
a = 2, b = 6, c = 5
x = (-b plusminus sqrt(b2 - 4ac))/2a
x = (-6 plusminus sqrt(36 - 40))/4
x = (-6 plusminus sqrt(-4))/4
As you can see, this has resulted in the square root of a negative number, which is not usually possible. You may not need to know about imaginary numbers yet, but the solution to this can actually be given using the imaginary constant, i, with the answer being a complex number (a real number combined with an imaginary number).
x = (-6 plusminus 2i)/4
x = -3/2 + i/2 and -3/2 - i/2
That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: (-5 plus or minus the square root of 3) divided by 2
x = -1.6339745962155614
x = -3.3660254037844384
2x2 - 5x - 3 = 0
This equation can be factored :
(2x + 1)(x - 3) = 0
It can't be factored because its discriminant is less than zero
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What is the factor of 2x2 plus 7x-9?
The factorisation is as follows: 2x2 + 7x - 9 = (x - 1)(2x + 9).
How do you factor 12abx squared plus 6abx minus 30ab?
6ab(2x2+x-5)
Can you factor the problem following this example a plus b or a b for 2x2 338?
If that's - 338, the answer is 2(x + 13)(x - 13)
How do you do long division in algebra two with terms as in the equation 2xsq2 plus 10x plus 12 divided by x plus 3... note that sq is squared?
2x2+10x+12/(x+3)We use long division just like we would normally.Let me give you an example.ex:Divide 7 into 23---------7 | 234We say ok, how many times does 7 go into 2?0 times, it doesn't work. So you put a 0 above the 2.Now we try 7 into 23. It can go 3 times, so we put a 3 above the 3 (in 234) and subtract 21. (3 *7) and then carry down the 4....03--------7|234-..21--------...024how many times will 7 go into 24? 3 again....033-------7|234-..21-------...024-....21--------.......3We're left with 3 as the remainder.Our answer to 234 divided by 7 is 33 remainder of 3, or 33 and 3/7.----This method works similarly with variables.2x2+10x+12/(x+3)----------------------x+3|2x2+10x+12We'll start the same way. How many times will X go into 2x2Or, what times X gives 2x2 x * 2x = 2x2So we write a 2x above the 2x2, just like we wrote the 3 in the example above........2x----------------------x+3|2x2+10x+12Now we multiply x+3 by 2x to figure out what to subtract.2x(x+3)= 2x2 +6xNotice we ended up with a 2x2? This is what we wanted to subtract! Something to note, when you do your subtraction, you're subtracting the entire expression 2x2 +6x.So you can write -2x2 - 6x........2x----------------------x+3|2x2+10x+12......-2x2 - 6x-----------------...............4x + 12Make sure you carry down the next term, the +12. Just like we carried down the 4 in the example above.Now, how many times will X go into 4x? 4 times. So we write a 4 next to the 2x.and then multiply 4(x+3). then subtract........2x + 4----------------------x+3|2x2+10x+12......-2x2 - 6x-----------------...............4x + 12..............-4x - 12---------------------........................0In this scenario we get a remainder of 0.This means that x+3 divides evenly into 2x2+10x+12.In fact, it can divide into it 2x +4 times.To check this, multiply (x+3)(2x+4) use FOIL.(x+3)(2x+4) = 2x2+10x+12 (check)Side note: If you did get a remainder, like in the 1st example. Let's say the remainder was 1.You take the remainder, 1 and put it over the divisor x +3.so your answer would be 2x+4 +(1/x+3)
What is the minimum value of the equation y equals 2x2 plus 5?
y=2x2+5. Plug in 0 for x, and you get y=2(0)^2 +5 =0+5=5. 5 is the minimum value for y.
What is the factor of 2x2-10x plus 3?
Doesn't factor evenly, use quadratic
What is 2xsquared plus 10x plus 25?
2x2 + 10x + 25 is a quadratic expression. It describes a parabola.
How do you factor 20x cubed minus 70x squared plus 60x?
20x3 - 70x2 + 60x = 10x(2x2 - 7x + 6) = 10x(2x - 3)(x - 2).
What is the answer to the equation 2x2 - 10x plus 7 equals 0?
The roots of the equation are [5 +/- sqrt(11)]/2 = 4.158 and 0.842
What are the values of X in the equation 2x2 equals 10x plus 12?
2x2 = 10x + 12 2x2 - 10x - 12 = 0 x2 -5x -6 = 0 x2 - 6x + x - 6 = 0 x(x -6) + 1(x -6) = 0 (x+1)(x-6) = 0 x = -1 or x = 6
How do you factor 2x2 10x 12?
2(x + 3)(x + 2)
How do you factor 6x3-x2 plus 17 equals 2x2 plus 47?
6x3 - x2 + 17 = 2x2 + 47 6x3 - x2 - 2x2 = 47 - 17 x2(6x - 1 - 2) = 30 this is the simplest factorisation.
2x2 - 3x plus 7?
2x2 equals 5
What is the solution to 2x2 10x plus 7 equals 0 using the quadratic formula?
(-5 plus or minus the square root of 11) divided by 2 x = -0.8416876048223001 x = -4.1583123951777
2x2 plus 7x - 15 equals 0?
2x2 + 7x - 15 = 02x2 + 10x - 3x - 15 = 0(2x2 - 3x) + (10x - 15) = 0x(2x - 3) + 5(2x - 3) = 0(2x - 3)(x + 5) = 0(2x - 3) = 0 or (x + 5) = 0x = 3/2 or x = -5
Maxz equals 2x1 plus 2x2 stc 5x1 plus 3x2 equals 8 x1 plus 2x2 equals 4 x1 x2 equals 0 and integerssolve by ipp?
3
How do you factor 2x2 plus 10-9x equals 0?
2x2 + 10 - 9x = 0 or 2x2 - 9x + 10 = 0 So (x - 2)*(2x - 5) = 0
