Textbook Question
When the sum of 6 and twice a positive number is subtracted from the square of the number, 0 results. Find the number.
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1. Equations & Inequalities
Intro to Quadratic Equations
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Write the given quadratic equation in standard form. Identify a, b, and c.
A
a = - 4, b = 0, c = - 8
B
a = - 4, b = 1, c = 8
C
a = - 4, b = 1, c = - 8
D
a = 2, b = 1, c = 0
Verified step by step guidance1
Start by writing the given quadratic equation: \(-4x^2 + x = 8\).
To write the equation in standard form, which is \(ax^2 + bx + c = 0\), we need to move all terms to one side of the equation.
Subtract 8 from both sides to get: \(-4x^2 + x - 8 = 0\).
Now, the equation is in standard form: \(-4x^2 + x - 8 = 0\).
Identify the coefficients: \(a = -4\), \(b = 1\), and \(c = -8\).
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