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
Solution
The quadratic equation in standard form is 4x^2 - 7x + 15 = 0.
Here are the steps to write the equation in standard form:
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The given equation is -7x + 15 = 4x^2.
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The standard form of a quadratic equation is ax^2 + bx + c = 0.
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To convert the given equation into standard form, we need to move all the terms to one side of the equation.
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Adding 7x to both sides of the equation gives us 15 = 4x^2 + 7x.
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Then, subtracting 15 from both sides gives us 0 = 4x^2 + 7x - 15.
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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.
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