Find the roots of quadratic equation 4x²-2√5x+1=0 using quadratic formula?
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Step-by-step explanation:
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Answer:
√5+1 and √5-1
4 4
Step-by-step explanation:
a=4,b= -2√5,c=1
D= b²- 4ac
=(2√5)²-4×4×1
=4×5 -16
=20-16
D =4
Roots are
x= -b±√D
2a
x= -(-2√5)+√4 or x= -(-2√5)- √4
8 8
x= 2√5+2 or x= 2√5-2
8 8
x=2(√5+1) or x= 2(√5-1)
8. 8
x= √5+1 or x= √5-1
4 4
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