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julsineya [31]
3 years ago
10

If 2x^2+5x-12=(2x-3)(x+4) which equations should be solved to find the roots of 2x^2+5x-12=0

Mathematics
1 answer:
xxMikexx [17]3 years ago
3 0

Answer:

The equation should be solved to find the roots of 2x² + 5x - 12 = 0 is

(2x - 3)(x + 4) = 0

Step-by-step explanation:

The roots of an equation is values of x when y is equal to zero

∵ y = 2x² + 5x - 12 is a quadratic equation

∴ The roots of the equations are values of x when y = 0

∵ The factorization of 2x² + 5x - 12 is (2x - 3)(x + 4)

∵ 2x² + 5x - 12 = (2x - 3)(x + 4)

∵ 2x² + 5x - 12 = 0

- Equate the right hand side above by 0

∴ (2x - 3)(x + 4) = 0

- Now equate each bracket by 0 to find the values of x

∵ 2x - 3 = 0

- Add 3 to both sides

∴ 2x = 3

- Divide both sides by 2

∴ x = 1.5

∵ x + 4 = 0

- Subtract 4 from both sides

∴ x = -4

∴ The roots of the equations are -4 and 1.5

The equation should be solved to find the roots of 2x² + 5x - 12 = 0 is

(2x - 3)(x + 4) = 0

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Answer: 60 miles

Step-by-step explanation:

Given

It takes ferry 2 hours to travel to town A and only 1.5\ hr to travel back to town B.

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oksian1 [2.3K]

I don't really speak Spanish but I'll guess that says

 How do I solve  y = 1 - 2.5

Unless I'm missing something, there's not even any algebra here.  

The way we subtract a bigger number from a smaller number is first we subtract the smaller number from the bigger number the regular way, then we prepend a minus sign.


y = 1 - 2.5 = -(2.5 - 1) = -1.5



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