Write the standard form of quadratic equation.
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Given : quadratic equation.
To Find : standard form of quadratic equation.
Solution:
Standard form of quadratic equation. is
ax² + bx + c = 0
where a , b and c are real numbers and a ≠ 0
a is coefficient of x²
b is coefficient of x
c is constant term
D = b² - 4ac is discriminant
D = 0 roots are real and equal
D > 0 root are real and unequal
D < 0 roots are imaginary
roots are given by (-b ± √D) /2a
Factored form of Quadratic equation
k(x - p)(x - q) = 0
where p and q are zeroes of Quadratic equation
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