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y=x2-12x+7
-1
In a linear equation, the highest power of all variables is 1. eg y = x + 3 In this example, the variable (x) has a power of 1 (remember, x1 is the same as x). Therefore, a linear equation. eg 2 y = x2 +7 eg 3 y = p3 + p - 89 In example 2 and 3, variables have a power higher than 1. Hence, they are non-linear equations.
yes
A linear equation is defined as an equation that contains only the first power of the unknown quantity. For example, 5x - 3 = 7 where "x" is the unknown quantity is a linear equation. If an equation contains an unknown quantity having a higher power than 1, then the equation ceases to be a linear equation. For example, 3x2 + 5x + 7 = 0 is a non linear equation known as a quadratic equation, because the unknown quantity "x" has a power of 2. Similarly, equations containing unknowns with higher powers such as x3, x7, x12 are all non linear equations.