https://r2.erweima.ai/mathbot/image/172640988737630ak9l4b.jpg

The image contains a set of equations to solve over the real numbers (\(\mathbb{R}\)) without using the discriminant, as per the instructions in French: "Résoudre dans \(\mathbb{R}\) les équations suivantes sans utiliser le discriminant."

Here are the equations from the image:

1. \(-5x^2 + 4 = 0\)
2. \(-x^2 + 6x = 0\)
3. \((x - 1)^2 - (x - 1)(x - 2) = 0\)
4. \(x^2 - 16 + 2(x - 4)^2 = 0\)
5. \((x + 3)^2 - (2x - 3)^2 = -21\)
6. \((2x + 1)(x - 7) = -21\)
7. \(9 - 4x^2 = 0\)
8. \(9 + 4(x - 2)^2 = 0\)

Would you like me to start solving these equations one by one or explain a specific one in detail? Let me know!

Résoudre dans ℝ les équations suivantes sans utiliser le discriminant.

Explore how to solve quadratic and polynomial equations without using the discriminant. This detailed guide covers algebraic concepts such as factoring, completing the square, and polynomial identities. Ideal for students in Grades 9-11.

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