find c if the roots of quadratic equation x2 -2(c+1) + c2 = 0 has real and equal roots
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for real and equal roots
D= 0
b²-4ac =0
x² -2(c+1)x + c²= 0
on comparing this eq with standard form of quadratic equation ax²+bx+c=0
a= 1 ,b = -2(c+1) ,c = c²
D=0
b²-4ac =0
-2(c+1)² - 4×c² =0
-2(c²+1+2c) -4c² =0
-2c²-2-4c -4c² =0
-6c² = 4c +2
c² = 2(2c+1)/6
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