Respuesta :
The term that must be added to the equation x2+4x=1 to make it into a perfect square is 4.
What is Quadratic equation?
Any equation that can be rewritten in standard form as where x represents an unknown, a, b, and c represent known numbers, and where a 0 is true is a quadratic equation. Since there is no ax2 term, the equation is linear if a = 0, not quadratic.
Why is it called a quadratic equation?
This is true because the Latin word quadratum, which means "square," plus the fact that the area of a square with side length x is equal to x2, make up what is known as the quadratic (or "square-like") definition of a polynomial equation with exponent two.
According to the given information:
x²+4x=1
as, the x has coefficient 4.
so,
half the coefficient of x and add and subtract the square of the remaining.
x²+4x + 2 ² - 2² =1
Now,
make the whole square term
x²+4x + 2 ² - 4 - 1=0
( x + 2)² -5= 0
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