The solution to the quadratic equation by completing the square is x = -1 + √3, x = -1 - √3
<h3>What is a quadratic equation?</h3>
Any equation of the form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
We have a quadratic equation:
x² + 2x - 2 = 0
x² + 2x + 1 - 1 - 2 = 0
(x + 1)² - 3 = 0
(x + 1)² = 3
x + 1 = ± √3
x = -1 ± √3
Thus, the solution to the quadratic equation by completing the square is x = -1 + √3, x = -1 - √3
Learn more about quadratic equations here:
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Answer:
DEF = 14.5
DEG = 8.5
Step-by-step explanation:
(7x+4) + (5x+1) = 23
12x+5 = 23
x= 1.5
DEF = 14.5
DEG = 8.5
Answer:
8
Step-by-step explanation:
all numbers must be positive when you have the lines on the side
19. It notes or hints to using the quadratic formula because the equation can not be solved by factoring alone. Thus you must use the quadratic formula.
A=-16 B=25 C=3
It is so hard to type a normal equation let alone one of the quadratic formula so I will just attach a picture instead.
However you will end up getting two roots/zeros/x-intercepts of -0.11 and 1.67.
However since it is an application question asking for answers only in the first quadrant you must choose the positive x-intercept.
Therefore the water balloon will land at 1.67 seconds.
20. This question is very simple as it asks you to find a height at a given time. You simply put the given time (1second) into the equation and get your answer.
h=-16(1)^2+25(1)+3
h=12
Also don't mind my little scribble there. :)