Find the roots for y = (2x-3)(x+5) (The x values)

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Find the roots for y = (2x-3)(x+5) (The x values)

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Diễm Thu 3 years 2021-08-20T00:55:17+00:00 1 Answers 5 views 0

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  1. thienthi
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    2021-08-20T00:56:33+00:00
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    Answer:

    x = \frac{3}{2} , -5

    Step-by-step explanation:

    We know that we have to find the roots of the equation – which is another way of saying the x-intercepts, or the points that are on the x-axis that the graph passes through. All points on the x-axis have a y-value of 0. So, in order to find the roots for this equation, we need to find which values of x make the y equal 0.

    The equation has already been factored out. So, we just need to find which values of x for each of the expressions in the parentheses will make the result 0. To do this, set the expressions in the parentheses to 0 and isolate x.

    1) First, let’s look at (2x-3). Write the equation 2x-3 = 0. Then, isolate x:

    2x-3 = 0\\2x = 3\\x = \frac{3}{2}

    Therefore, \frac{3}{2} is one of the roots.

    2) Next, let’s look at (x+5). Write the equation x+5 = 0. Then, isolate x:

    x+5 = 0\\x = -5

    Therefore, -5 is a root as well.

    The roots of the equation would be \frac{3}{2} and -5.

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