Solve 9x2 = 12

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Solution.

Given equation is 9x² = 12

Converting given equation into Standard Form of Quadratic Equation. ax² + bx + c = 0

9x² = 12 converted into 9x² + 0x - 12 = 0

Comparing it with the standard Form of Quadratic Equation ax² + bx + c = 0

a = 9, b = 0, c = -12

As we know, discriminant = b² - 4ac

Discriminant = (0)² - 4(9)(-12)

Discriminant = 0 - (-432)

Discriminant = 432

Since discriminant > 0
Both roots are real and unequal.

Using quadratic formula

Roots(x₁, x₂) =	−b ± √ b2 − 4ac
	2a

Roots(x₁, x₂) =	−b ± √ D
	2a

x₁ =	−b + √D
	2a

=	−(0) + √432
	2(9)

=	0 + √432
	18

x₂ =	−b - √D
	2a

=	−(0) - √432
	2(9)

=	0 - √432
	18

Roots: x₁ = , x₂ =

Sum of roots = -b/a

Sum of roots = -(0)/(9)

Sum of roots = 0

Product of roots = c/a

Product of roots = (-12)/(9)

Product of roots = -12 / 9

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