Types of Quadratic Equations Roots

Types of Quadratic Equations Roots

If we look at how to find a solution of quadratic equations using a formula, the types of roots will depend on b² - 4ac. Therefore, b² - 4ac is called discriminant or differentiator and is usually abbreviated to D where D = b²- 4ac.

Here are some possible root types of quadratic equations, such as:

• If D > 0 but not pure square, the quadrate equation has two different roots;
• If D = 0, then the quadratic equation has two rill roots or often called twin roots;
• If D < 0, then the quadratic equation has no rill root (imaginary root);
• If D is pure square, then the quadratic equation has different rational roots.

Example:
Investigate the type of roots from x² + 4x + 4 = 0 without searching for the root first!

Answer:
From x² + 4x + 4 = 0, obtained:
a = 1
b = 4
c = 4

D = b² - 4ac
D = 4² - 4(1)(4)
D = 16 - 16
D = 0

Since D = 0, then x² + 4x + 4 = 0 has the same or twin roots.

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Referensi :

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