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__ 2. Find the x - intercepts of the given equation y=x^2+9x+20 A. (-4,0)(5,0) B (-4,0)(-5,0) c (0,-4)(0,-5) D (0,-4)(0,5) E. None of the above

Pergunta

__ 2. Find the x - intercepts of the given
equation y=x^2+9x+20
A. (-4,0)(5,0)
B (-4,0)(-5,0)
c (0,-4)(0,-5)
D (0,-4)(0,5)
E. None of the above

__ 2. Find the x - intercepts of the given equation y=x^2+9x+20 A. (-4,0)(5,0) B (-4,0)(-5,0) c (0,-4)(0,-5) D (0,-4)(0,5) E. None of the above

Solução

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AndrésVeterano · Tutor por 12 anos

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To find the x-intercepts of the given equation $y=x^{2}+9x+20$, we need to set y equal to 0 and solve for x.<br /><br />$0=x^{2}+9x+20$<br /><br />We can factor the quadratic equation:<br /><br />$0=(x+4)(x+5)$<br /><br />Setting each factor equal to 0 gives us the x-intercepts:<br /><br />$x+4=0$ or $x+5=0$<br /><br />$x=-4$ or $x=-5$<br /><br />Therefore, the x-intercepts of the given equation are $(-4,0)$ and $(-5,0)$.<br /><br />The correct answer is B $(-4,0)(-5,0)$.
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