The standard form of a quadratic Equation takes this form:
Ax² + Bx + C = 0
where A,B, and C are numerical coefficients. A should not be equal to zero..
Let f(x) = 0.
So we will have the following in standard form:
1.) x² - 4x + 4 = 0
2.) x² - 7 = 0
3.) x² + 15 = 0
4.) x² + 10x = 0
As you noticed, all the given are in standard form already..except that we just simplified #3.
If you were asking for the solutions/roots of each equation:
1.) x² - 4x + 4 = 0
(x-2)(x-2) = 0
x₁ and x₂ are both equal to 2.......so 2 is the one and only root to the equation.
2.) x² - 7 = 0
x = +/- √7
x₁ = +√7 x₂ = -√7 ANSWERS
3.) x² + 15 = 0
x² = -15
x² = √-15
since there is no square root of a negative number, the equation has NO REAL ROOTS.
4.) x² + 10x = 0
x(x + 10) = 0
x₁ = 0 ANSWER and x+10 = 0
x = -10 ANSWER
