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.
A linear equation always has a degree of one because the slope has to be constant to form a line. So, x + 7 is linear, 7 - x is linear, 4x - 3.7 is linear, but anything with x2 , etc. is not linear.
Yes, y = 4x + 7 is a linear equation.
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.
x2 + 2x - 7 is a quadratic polynomial. Every polynomial defines a function called P. Any value of x for which P(x) = 0 is a root of the equation and a zero of the function. x2 + 2x - 7 = 0 add 1 and 7 to both sides x2 + 2x + 1 = 8 (x + 1)2 = 8 take the square root of both sides x + 1 = ± √8 subtract 1 to both sides x = -1 ± 2√2 Thus, the roots of the equation are -1 - 2√2 and -1 + 2√2.
yes
7
x2 - 12x + 35
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.
It is -7.
No, it is not.