An equation is quadratic in variable x nbsp; if it is of the form ax2+bx+c = 0, where a,b and c are real numbers and a #8800;0. Given: n ndash; 3 = 4n2 O ...

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Standard X

Mathematics

Quadratic Equations

n-3=4 n 2

Question

$n - 3 = 4 n^{2}$

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Solution

An equation is quadratic in variable x if it is of the form ax²+bx+c = 0, where a,b and c are real numbers and a $\neq$ 0.
Given: n – 3 = 4n²
On transposing all the terms of the right-hand side to the left-hand side, we get:
–4n² + n – 3 = 0
On comparing this equation with the general form of the quadratic equation, we find that it is a quadratic equation in variable n .
Also, a = –4, b = 1 and c = –3, which are real numbers and a $\neq$ 0.

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n - 3 = 4n2

$n - 3 = 4 n^{2}$