Question

5x²-4x-7=0 , find the value of x​

Answer 1

Answer:

$\boxed{\text{Answer: }1.649 \text{ or } -0.849}$

Step-by-step explanation:

$\text{In this case, a = 5, b = -4, c = -7}\\\\\boxed{\text{Discriminant (D) = } b^2 - 4ac}\\\\\\= (-4)^2 - 4 \text{ x } 5 \text{ x } -7\\\\= 16 + 140\\\\D = 156\\\\\text{Roots = } \frac{-b \text{ +} \sqrt{D}}{2a}\\\\= \frac{4 + \sqrt{156}}{10}\\\\= \frac{4 + 12.49}{10} \text{ or } \frac{4 - 12.49}{10}\\\\= \frac{16.49}{10} \text{ or } \frac{-8.49}{10}\\\\\boxed{\text{Answer: }1.649 \text{ or } -0.849}$

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