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Fed [463]
2 years ago
10

Find the term that must be added to the equation x2 4x=1 to make it into a perfect square.

Mathematics
1 answer:
AVprozaik [17]2 years ago
8 0

The term that must be added to the equation x2+4x=1 to make it into a perfect square is 4.

<h3>What is Quadratic equation?</h3>

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.

<h3>Why is it called a quadratic equation?</h3>

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.

<h3>According to the given information:</h3>

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

To know  more about quadratic equation visit:

brainly.com/question/17177510

#SPJ4

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