Mathematics: Please solve: x^2+10x+25=9

Please solve: x^2+10x+25=9 - id2102597490769, zahid79

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ashlynm12

01.02.2022

$x^2+10x+25=9\\\\\underbrace{x^2+2x\cdot5+5^2}_{(*)}=9\\\\(x+5)^2=9\iff x+5=3\ or\ x+5=-3\\\\x=3-5\ or\ x=-5-3\\\\\boxed{x=-2\ or\ x=-8}\leftarrow solutions$

$(*)\ (a+b)^2=a^2+2ab+b^2$

$other\ methode:\\\\x^2+10x+25=9\\\\x^2+10x+25-9=0\\\\x^2+10x+16=0\\\\x^2+2x+8x+16=0\\\\x(x+2)+8(x+2)=0\\\\(x+2)(x+8)=0\iff x+2=0\ or\ x+8=0\\\\\boxed{x=-2\ or\ x=-8}$

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Ответ:

vannaht2003

01.02.2022

Mathematics

$x^2+10x+25=9\\
(x+5)^2=9\\
x+5=3 \vee x+5=-3\\
x=-2 \vee x=-8$

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Ответ:

borgeschristoper694

18.03.2020

Mathematics

Yes, the car is traveling at a constant speed. You can tell because the graph is moving upwards to the right at a constant rate. The car is traveling at a speed of 60 miles per hour.

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Please solve: x^2+10x+25=9

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