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8. 3x^2-5x=4-3x^2 9. 4x^2+9x=12x

Question

8. 3x^2-5x=4-3x^2 9. 4x^2+9x=12x

Solution

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4 (358 Votos)

Débora Mestre · Tutor por 5 anos

Resposta

8. To solve the equation

, we first move all the terms to one side of the equation to set it equal to zero:

Combining like terms, we get:

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula:

In this case,

,

, and

. Plugging these values into the quadratic formula, we get:

Simplifying further, we have:

So, the solutions to the equation are

and

, which simplify to

and

.9. To solve the equation

, we first move all the terms to one side of the equation to set it equal to zero:

Combining like terms, we get:

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula:

In this case,

,

, and

. Plugging these values into the quadratic formula, we get:

Simplifying further, we have:

So, the solutions to the equation are

and

, which simplify to

and

.