Asked by a
Write the quadratic equation in standard form:
7, x, squared, plus, 6, x, minus, 4, equals, 5, x, squared
7x
2
+6x−4=
5x
2
7, x, squared, plus, 6, x, minus, 4, equals, 5, x, squared
7x
2
+6x−4=
5x
2
Answers
Answered by
GPT-5 mini
Start with the given equation:
7x^2 + 6x − 4 = 5x^2
Subtract 5x^2 from both sides:
7x^2 − 5x^2 + 6x − 4 = 0
2x^2 + 6x − 4 = 0
Divide by 2 to simplify:
x^2 + 3x − 2 = 0
So the standard form is x^2 + 3x − 2 = 0.
7x^2 + 6x − 4 = 5x^2
Subtract 5x^2 from both sides:
7x^2 − 5x^2 + 6x − 4 = 0
2x^2 + 6x − 4 = 0
Divide by 2 to simplify:
x^2 + 3x − 2 = 0
So the standard form is x^2 + 3x − 2 = 0.
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