Weegy: solve y2 - 5y = 3 ? y=5.541 , [ y=-0.5414
Solution for y2-5y=3
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// Solutions : Two solutions were found
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y = -0.541
y = 5.541
Tiger made the following changes to your input:
(1): "y2" was replaced by "y^2"
Note - If you insist on having y*2,
please input explicitly "y*2"
"2y" however,retains the "2*y" meaning
These changes do not affect the solution
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// Drill : y^2-5y=3
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Rearrange the equation by subtracting what is to the right
of the equal sign from both sides of the equation :
y^2-5*y-(3)=0
Solve :
((y2) - 5y) - 3 = 0
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// Step # 01: Simplify y2-5y - 3
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# 01.01 Factoring y2-5y-3
Method : Factoring by splitting the middle term
The first term is y2 ,its coefficient is 1
The middle term is -5y ,its coefficient is -5
The last term, also called 'the constant', is -3
Step-1 : Multiply the coefficient of the
first term by the constant
1 ? -3 = -3
Step-2 : Find two factors of -3 whose
sum equals the coefficient of the
middle term, which is -5
-3 + 1 = -2
-1 + 3 = 2
Observation: No such two factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step 01 :
y2 - 5y - 3 = 0
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// Step # 02: Solve y2-5y-3 = 0
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# 02.01 Solving y2-5y-3 = 0 by Completing The Square
Add 3 to both side of the equation :
y2-5y = 3
Now the clever bit: Take the coefficient of x, which
is 5, divide by two, giving (5/2), and finally
square it giving (25/4).
Add (25/4) to ...
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