Find the roots (if they exist) of the following quadratic equations by

1.	Find the roots (if they exist) of the following quadratic equations by the method of completing the square:x^2–2 √5 x+1 = 0
Answer» Step-by-step explanation: X^2 - 2✓5 x + 1 =0 ✓D = ✓ 20 - 4 = ✓16 = 4 alpha = (-(-2✓5) + 4 ) / (21) = (2✓5 + 4)/2 = 2 + ✓5 beta = (-(-2✓5) - 4 ) / (21) = (2✓5 - 4)/2 = ✓5 - 2

Find the roots (if they exist) of the following quadratic equations by the method of completing the square:x^2–2 √5 x+1 = 0

Answer»

Step-by-step explanation:

X^2 - 2✓5 x + 1 =0

✓D = ✓ 20 - 4

= ✓16

= 4

alpha = (-(-2✓5) + 4 ) / (2*1)

= (2✓5 + 4)/2

= 2 + ✓5

beta = (-(-2✓5) - 4 ) / (2*1)

= (2✓5 - 4)/2

= ✓5 - 2

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Find the roots (if they exist) of the following quadratic equations by the method of completing the square:x^2–2 √5 x+1 = 0​

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Find the roots (if they exist) of the following quadratic equations by the method of completing the square:x^2–2 √5 x+1 = 0