Solve the following quadratic by completing the square. y = x2 + 10x + 10

Mathematics

1 answer:

IgorC [24]3 years ago

3 0

Answer:

Step-by-step explanation:

$y = x^2+10x+10\\\\y=x^2+10x+25-25+10\\\\y=(x+5)^2-15\\\\y=0\quad\iff\quad (x+5)^2-15=0\\\\(x+5)^2=15\\\\x+5=\pm\sqrt{15}\\\\x=-5-\sqrt{15}\quad or\quad x= -5+\sqrt{15}$

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