Difference between revisions of "Equal"
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Solution: We can first square our original equation to get <math>y^2 = 16</math>. We can add <math>y</math> to that, as we know that <math>y</math> still equals <math>4</math>. So, <math>y^2 + y = 20</math>. We can also subtract both the left and the right side of the equation by <math>3</math>, giving us <math>y^2 + y - 3 = 17</math>. This proves what we wanted to prove. | Solution: We can first square our original equation to get <math>y^2 = 16</math>. We can add <math>y</math> to that, as we know that <math>y</math> still equals <math>4</math>. So, <math>y^2 + y = 20</math>. We can also subtract both the left and the right side of the equation by <math>3</math>, giving us <math>y^2 + y - 3 = 17</math>. This proves what we wanted to prove. | ||
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Latest revision as of 17:02, 23 June 2019
When something is equal to something else, then they have the same value. For instance, if 
, then 
belongs to the set of numbers {4}. You are also able to use this to prove other statements.
Question: Given that , prove that 
.
Solution: We can first square our original equation to get 
. We can add to that, as we know that still equals 
. So, 
. We can also subtract both the left and the right side of the equation by 
, giving us . This proves what we wanted to prove.
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