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hram777 [196]
3 years ago
15

24. Solve (x-3⅓)² = 5⁴/9​

Mathematics
1 answer:
Ivenika [448]3 years ago
5 0
X1=~ -6.89. X2=~ 9.77

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Step-by-step explanation:

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Let's solve your equation step-by-step.

−2(4k−7)=22−8k

Step 1: Simplify both sides of the equation.

−2(4k−7)=22−8k

(−2)(4k)+(−2)(−7)=22+−8k(Distribute)

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Step 2: Add 8k to both sides.

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lutik1710 [3]

so, this is a quadratic equation, meaning two solutions, and we have a factored form of it, meaning you can get the solutions by simply zeroing out the f(x).

\bf \stackrel{f(x)}{0}=-(x-3)(x+11)\implies 0=(x-3)(x+11)\implies x= \begin{cases} 3\\ -11 \end{cases} \\\\\\ \boxed{-11}\stackrel{\textit{\large 7 units}}{\rule[0.35em]{10em}{0.25pt}}-4\stackrel{\textit{\large 7 units}}{\rule[0.35em]{10em}{0.25pt}}\boxed{3}

so the zeros/solutions are at x = 3 and x = -11, now, bearing in mind the vertex will be half-way between those two, checking the number line, that midpoint will be at x = -4, so the vertex is right there, well, what's f(x) when x = -4?

\bf f(-4)=-(-4-3)(-4+11)\implies f(-4)=7(7)\implies f(-4)=49 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{vertex}{(-4~~,~~49)}~\hfill

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Step-by-step explanation:

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Answer:

B

Step-by-step explanation:

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Read 2 more answers
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