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rewona [7]
3 years ago
11

Find the value of k for x^2 - 2kx+7k -12=0 so that they have two equal roots

Mathematics
1 answer:
Alisiya [41]3 years ago
5 0

Step-by-step explanation:

x^2 -2kx +7k -12 = 0

two equal roots -->Δ = b^2 -4ac = 4k^2 - 4(7k-12)=0 = 4(k^2 - 7k +12)=4(k-4)(k-3)=0

so k =3 and k =4

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2 (added together it's 4)

Step-by-step explanation:

Assuming the width of 10 was both sides added together that makes it 5+5

14-10=4

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the wording is the most difficult thing about this question.

6 0
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3 years ago
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4 0
3 years ago
a chemist has two alloys, one of which is 10% gold and 15% lead and the other of which is 30% gold and 40% lead. how many grams
IrinaK [193]
Let the weight of the first alloy will be x grams.
Weight of gold will be 0.1x grams, weight of lead will be 0.15x grams.
Let the weight of the second alloy <span>will be y grams.
</span><span>Weight of gold will be 0.3y grams, weight of lead will be 0.4y grams.
</span>Summarizing:
0.1x+<span>0.3y=60       - gold
</span><span>0.15x+0.4y=88     - lead
</span>
0.1x+<span>0.3y=60     * 10   
</span><span>0.15x+0.4y=88   * 100
</span>
x+3y=600          * 15
15x+40y=8800

15x+45y=9000      
<span>15x+40y=8800
</span>
<span>15x+45y=9000            /15
</span>45y-40y=9000-8800

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x+3y=600     
y=40

y=40
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y=40    
<span>x=480</span>

↑The answers.

6 0
4 years ago
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