Answer :

leena

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[tex]\large\boxed{x = -5, 1}[/tex]

x² + 4x + 1 = 6

Begin factoring by moving all terms to the left-hand side of the equation:

x² + 4x + 1 - 6 = 0

x² + 4x - 5 = 0

Factor by finding terms that SUM up to 4x and MULTIPLY into -5. We get:

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

Use the Zero-Product property to solve the quadratic equation:

x + 5 = 0

x = - 5

x - 1 = 0

x = 1

Therefore, the solutions are x = -5, 1.

Answer:

X1=1 & X2=-5

Step-by-step explanation:

x² + 4x +1=6

x² + 4x-5=0     % in standard condition

formula:

X1=(-b+sqrt(b²-4ac))/2a;       X2=(-b-sqrt(b²-4ac))/2a;

so' Here

a=1  % co-efficient of x²

b=4  % co-efficient of x

c=-5  % constant

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