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Alessandro wrote the quadratic equation –6 = x2 + 4x – 1 in standard form. What is the value of c in his new equation?

1 Answer

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ANSWER


c = 5

Step-by-step explanation

A quadratic equation is said to be in standard form when it is in the form


a {x}^(2) + bx + c = 0

where a, b, c are real numbers.

The given quadratic equation is


- 6 = {x}^(2) + 4x - 1

When we add 6 to both sides, we obtain,


-6 + 6= {x}^(2) + 4x - 1 + 6


\implies \: 0= {x}^(2) + 4x + 5

Or


\implies \: {x}^(2) + 4x + 5 = 0

This is what Alexandra got after he wrote the quadratic equation in standard form.

By comparing this equation to


a {x}^(2) + bx + c = 0

we have a=1, b=4 and c=5.

User Azad Prajapat
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