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This quadratic equation can be solved by three methods: (a) factoring (b) completing the square (c) using the quadratic equation formula.
Factoring:
25x2+20x+4 = 0
(5+2)(5x+2) = 0
Solution: x = -2/5 also x = -2/5 (they both have equal roots)
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What is the solution for 50x² equals 20x-2 equals 0?
50x squared equals 20x-2 equals zero is not possible, for 20x-2 = 0 --> x = 1/10 While 50x2 = 0 means that x should be zero. So either 50x2 =/ 20x-2 or 20x-2 =/ 0
What number must you add to complete the square of x2 plus 20x equals 39?
x2 + 20x - 39 = 0: Add 61 giving: x2 + 20x + 100 = (x + 10)2
What is 5x squared plus 20x?
5x2 + 20x = 0 5x(x + 4) = 0 x = 0 and -4
Is 4x plus 5c plus 10c-3x equals 0a quadratic equation?
NO,because in quadratic equation highest power of a variable is 2. e.x. 4x2-20x+10=0.
What are the points of intersection when the line y equals 10x -12 crosses the curve y equals x squared plus 20x plus 12?
If: y = 10x -12 and y = x^2 +20x +12 Then: x^2 +20x +12 = 10x -12 Transposing terms: x^2 +10x +24 = 0 Factorizing: (x+6)(x+4) = 0 => x = -6 or x = -4 Points of intersection by substitution are at: (-6, -72) and (-4, -52)
25x2-20x plus 4 equals 0?
Factorises as (5x-2)(5x-2) so x = 0.4 25x2= 4, -20x = -8 4 - 8 + 4 = 0
What is the value of m in 25x2-20x plus m equals 0 so that the two roots are equal?
4 and the two equal roots are 2/5 and 2/5
What is the point of intersection of the parabolas y equals x2 plus 20x plus 100 and y equals x2 -20x plus 100 showing work?
If: y = x2+20x+100 and x2-20x+100 Then: x2+20x+100 = x2-20x+100 So: 40x = 0 => x = 0 When x = 0 then y = 100 Therefore point of intersection: (0, 100)
Value of the discriminant 50x² equals 20x-2 equals?
Standard form is y=ax2+bx+c50x2=20x-250x2-20x+2=02(25x2-10+1)=0Discriminant is b2-4ac(-10)2-4(25)(1) = 0Discriminant is 0 and the function has two real zeros.
What is 20x plus 80y equals 0 in y equals mx plus b?
20x + 80y = 0Subtract 20x from each side of the equation:80y = -20xDivide each side by 80:y = -1/4 xm = -1/4b = 0
How do you turn 20x plus 80y equals 0 into slope intercept form?
If: 20x+80y = 0 Then: 80y = -20x And: y = -0.25x So the slope is -0.25 and it has no y intercept
What is the solution for 50x² equals 20x-2 equals 0?
50x squared equals 20x-2 equals zero is not possible, for 20x-2 = 0 --> x = 1/10 While 50x2 = 0 means that x should be zero. So either 50x2 =/ 20x-2 or 20x-2 =/ 0
What is the point of contact between the curves of y equals x squared plus 20x plus 100 and y equals x squared -20x plus 100?
The graphs of the two equations will intersect when x² + 20x + 100 = y = x² - 20x + 100 Subtracting x² +100 from both sides you get 20x = -20x that will only be true when x = 0. At x = 0, y = 100 for both equations - so the point of contact would be (0,100)
X2 plus 20x plus 4 equals 0?
x2 + 20x + 4 = 0 x2 + 20x + 100 = 96 (x + 10)2 = 96 x + 10 = ±961/2 x = -10 ±961/2 x = -10 ±4√6
Where do the parabolas of y equals x squared plus 20x plus 100 and y equals x squared minus 20x plus 100 meet on the x and y axis?
They touch each other at (0, 100) on the x and y axis.
What number must you add to complete the square of x2 plus 20x equals 39?
x2 + 20x - 39 = 0: Add 61 giving: x2 + 20x + 100 = (x + 10)2
What is 25x2-1 equals 0?
It is: (5x-1)(5x+1) = 0 when factored
