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Katena32 [7]
3 years ago
15

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 3x = 24

Mathematics
1 answer:
Sophie [7]3 years ago
5 0
We have that
x²<span> + 3x = 24
</span><span>Group terms that contain the same variable
</span>(x² + 3x) = 24
<span>Complete the square. Remember to balance the equation by adding the same constants to each side
</span>(x² + 3x+2.25) = 24+2.25

Rewrite as perfect squares

(x+1.5)² = 26.25
(+/-)[x+1.5]=5.12
(+)[x+1.5]=5.12----> x=5.12-1.5--->  x=3.62
(-)[x+1.5]=5.12-----> x=-1.5-5.12---> x=-6.62

the answer is
<span>3.62, –6.62</span>
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