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Write the quadratic equation in standard form:minus, 7, x, plus, 15, equals, 4, x, squared−7x+15=4x 2

Question

Write the quadratic equation in standard form:minus, 7, x, plus, 15, equals, 4, x, squared−7x+15=4x 2

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Solution

The quadratic equation in standard form is 4x^2 - 7x + 15 = 0.

Here are the steps to write the equation in standard form:

  1. The given equation is -7x + 15 = 4x^2.

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

  3. To convert the given equation into standard form, we need to move all the terms to one side of the equation.

  4. Adding 7x to both sides of the equation gives us 15 = 4x^2 + 7x.

  5. Then, subtracting 15 from both sides gives us 0 = 4x^2 + 7x - 15.

  6. Finally, we can rewrite the equation as 4x^2 - 7x + 15 = 0.

So, the quadratic equation in standard form is 4x^2 - 7x + 15 = 0.

This problem has been solved

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