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Grade 11Algebra

It is a question from quadratic equation
Please solve it

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Profile image of roja naidu
8 Years agoGrade 11
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1 Answer

Profile image of Sami Ullah
8 Years ago
Using the quadratic formula,
                                      
x= [G\pm \sqrt{G^2-4(A)(-H)}]/2A 
 
x= [G\pm \sqrt{G^2+4AH}]/2A
 
x= [G\pm \sqrt{G^2+4G^2}]/2A
 
x= [G\pm \sqrt{5G^2}]/2A
 
x= [G\pm \sqrt{5}G]/2A
 
x= [G+\sqrt{5}G]/2A      or      x= [G-\sqrt{5}G]/2A
 
As you can see 
 
x= 1.618\frac{G}{A}         or        x=-0.618\frac{G}{A}
 
So
 
Both roots are irrational since they involve \sqrt{5}  so the roots cannot be an integer or fraction.Thus,
 
Option “C” is the most nearly correct awnser since the equation has one positive root.
 
Please correct me if I am wrong somewhere as I am also a Student.Also whats the awnser of the MCQ in your book.