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xeze [42]
3 years ago
8

The graph of y=x^2 -7x+ 12 is a parabola with x-intercepts at

Mathematics
1 answer:
vesna_86 [32]3 years ago
6 0

Answer:

<h2>x = 3 and x = 4 → (3, 0) and (4, 0)</h2>

Step-by-step explanation:

\text{x-intercept is for y = 0}.\\\\\text{We have the function:}\ y=x^2-7x+12.\\\\\text{Put y = 0 and calculate the value(s) of x.}\\\\x^2-7x+12=0\\\\x^2-3x-4x+12=0\\\\x(x-3)-4(x-3)=0\\\\(x-3)(x-4)=0\iff x-3=0\ \vee\ x-4=0\\\\x-3=0\qquad\text{add 3 to both sides}\\\boxed{x=3}\\\\x-4=0\qquad\text{add 4 to both sides}\\\boxed{x=4}

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