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# For the equation y = 3x^{2} − 4x + 11, choose the correct application of the quadratic formula.

An algebraic expression in the form of ax^{2} + bx + c = 0 is called a quadratic equation, a ≠ 0.

## Answer: The value of x for the equation y = 3x^{2} − 4x + 11 using quadratic formula is 2/3 + i √29 / 3 or 2/3 - i √29 / 3

Let's find the solution using the quadratic formula.

**Explanation:**

Quadratic formula is x = − b ± √ b^{2 }− 4 a c / 2a

Where a is the coeffient of x^{2} , b is coefficient of x and c is the constant term.

⇒x = − b ± √ b^{2 }− 4 a c / 2a

⇒ x = − (- 4) ± √ (- 4)^{2 }− 4 × 3 × 11 / 2 (3)

⇒ x = − (- 4) ± √ 16^{ }− 132 / 6

⇒ x = − (- 4) ± √ 16^{ }− 132 / 6

⇒ x = − (- 4) ± √ -116 / 6

⇒ x = − (- 4) ± i2√ 29 / 6

We will have two values of x

⇒ x = 2/3 + i √29 / 3 or 2/3 - i √29 / 3

Try out Cuemath's Quadratic Equation Calculator to find the solutions to a quadratic equation.

### Thus, the value of x for the equation y = 3x^{2} − 4x + 11 using quadratic formula is 2/3 + i √29 / 3 or 2/3 - i √29 / 3

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