Question

y=2x^2-4x-3
Solve quadratic questions

Answer 1

By applying the quadratic formula we conclude that the roots of the quadratic equation y = 2 · x² - 4 · x - 3 are 1 + 0.5√10 and 1 - 0.5√10, respectively.

How to find the roots of a quadratic equation

All quadratic equations of the form a · x² + b · x + c = 0 have two roots that can be found by using the quadratic formula:

$x = \frac{-b \pm \sqrt{b^{2}-4\cdot a \cdot c}}{2\cdot a}$     (1)

If we know that a = 2, b = - 4 and c = - 3, then the roots of the quadratic equations are:

$x = \frac{4 \pm \sqrt{(-4)^{2}-4\cdot (2) \cdot (- 3)}}{2\cdot (2)}$

$x = 1 \pm \frac{\sqrt{40}}{4}$

$x = 1 \pm \frac{\sqrt{10}}{2}$

By applying the quadratic formula we conclude that the roots of the quadratic equation y = 2 · x² - 4 · x - 3 are 1 + 0.5√10 and 1 - 0.5√10, respectively.

To learn more on quadratic equations: https://brainly.com/question/2263981

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