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Help the question is write the quadratic equation in standard form:

17 - 2x = -5x^2 + 5x

asked
User Shaolang
by
7.7k points

1 Answer

1 vote

Answer: 5x^2 - 7x + 17 = 0

Explanation:

The standard form of a quadratic is ax^2 + bx + c = 0.

The a, b, and c are the coefficients of the x^2, x, and constant terms, respectively.

So in this equation, we have 17 - 2x = -5x^2 + 5x

We can rearrange this to fit standard form:

Step 1: Move all the terms over by subtracting -5x^2 + 5x from the right side to make the right side equal to zero.

Step 2: Now we have: 17 - 2x + 5x^2 - 5x = 0

Combine like terms -2x and -5x are like terms because they are both "x." After you get -7x.

Step 3: final answer

17 - 7x + 5x^2 = 0

This is in the right order, but the terms need to be rearranged from greatest to least.

Rearrange the equation to fit the form ax^2 + bx + c = 0.

You get: 5x^2 - 7x + 17 = 0

I hope this helps!

answered
User Suresh Varma
by
7.6k points

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