2x2-3x-2=x+4 select all the solutions

1 answer:

5 0

Solve for x over the real numbers:2 x^2 - 3 x - 2 = x + 4
Subtract x + 4 from both sides:2 x^2 - 4 x - 6 = 0
The left hand side factors into a product with three terms:2 (x - 3) (x + 1) = 0
Divide both sides by 2:(x - 3) (x + 1) = 0
Split into two equations:x - 3 = 0 or x + 1 = 0
Add 3 to both sides:x = 3 or x + 1 = 0
Subtract 1 from both sides:Answer: x = 3 or x = -1

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Let's call the younger student's age A and the older student's age B. The teacher's age will be T.

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Assuming $\mathbf a,\mathbf b\in\mathbb R^3$ , you have

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so

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Then

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