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NateOLit
11.07.2019 •
Mathematics
Fine one of the zeros of f(x) =4x^2 + 16x -20
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Ответ:
(Make sure to set f(x) to zero)
For this, I will be completing the square. Firstly, add 20 to both sides of the equation:![20=4x^2+16x](/tpl/images/0076/0426/dad1f.png)
Next, divide both sides by 4:![5=x^2+4x](/tpl/images/0076/0426/b273c.png)
Next, we want to make the right side of the equation a perfect square. To do that, divide the x coefficient by 2 and square that quotient. In this case:
4 ÷ 2 = 2, 2² = 4
Add four to both sides of the equation:![9=x^2+4x+4](/tpl/images/0076/0426/af030.png)
Next, factor the right side of the equation:![9=(x+2)^2](/tpl/images/0076/0426/746af.png)
Next, square root both sides of the equation:![\pm 3=x+2](/tpl/images/0076/0426/b44c5.png)
Lastly, subtract 2 to both sides of the equation and your answers are:
Ответ:
21-3+3+3=15
15 = 3+3+3+2+2+2
3+3+3 = 9