1.

Solve for x : x^2 - (√5+1)2x + 4√5 = 0​

Answer»

Step-by-step explanation:

√2x−4

−

X+5

=1

⇒(2x−4)+(x+5)−2

x+5

2x−4

=1

⇒3X+1−1=2

x+5

2x−4

⇒(3x)

2

=4(x+5)(2x−4)

9X

2

=4(2x

2

+10x−4x−20)

9x

2

=8x

2

+24x−80

x

2

−24x+80=0

x

2

−20x−4x+80=0

x(x−20)−4(x−20)=0

(x−4)(x−20)=0

⇒x=4,20.

Hence, the aanswer is 4,20


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