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In-s [12.5K]
3 years ago
14

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2+2x=17

Mathematics
1 answer:
Dahasolnce [82]3 years ago
4 0
We have that
x²<span>+2x=17
</span><span>Group terms that contain the same variable
</span>(x²+2x)=17
<span>Complete the square. Remember to balance the equation
</span>(x²+2x+1)=17+1

Rewrite as perfect squares

(x+1)²=18

x+1=(+/-)√18

x=(+/-)√18-1

x1=√18-1----> 3.24

x2=-√18-1----> -5.24


the answer is

the option 

<span>4.) 3.24, –5.24</span>
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