Question

solve the quadratic equation by square method​

Answer 1

Step-by-step explanation:

we have

x² - (√5+1)x + √5 = 0

so

x² - 2*(√5+1)*x + (√5+1)² - (√5+1)² + √5 = 0

so

( x - (√5+1) )² - ( 5 + 1 + 2√5 ) + √5 = 0

thus

( x - (√5+1) )² = 6 + √5

therefore

x = √(6+√5) + (√5+1)