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

Standard form for quadratic equations is:

0 = ax² + bx + c 

To make Alessandro's first equation in standard form, you must make the constant on the left side of the equation 0.

To do this, we should add 6 to each side to cancel out the -6 on the left side of the equation, making its value 0.

Alessandro's new equation is:

-6 + 6 = x² + 4x - 1 + 6

If we simplify this equation, we get:

0 = x² + 4x + 5

Therefore, knowing that the equation above is in the form ax² + bx + c, we can determine that the value of c in Alessandro's new equation is 5.

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Step-by-step explanation: