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Sladkaya [172]
1 year ago
6

Express x^2-5x+8 in the form (x-a)^2+b where a and b are integers

Mathematics
1 answer:
zimovet [89]1 year ago
7 0

Answer:

f(x)=(x-\frac{5}{2})^2+\frac{7}{4}

Step-by-step explanation:

<u>Complete the square</u>

<u />f(x)=x^2-5x+8\\\\f(x)-1.75=x^2-5x+8-1.75\\\\f(x)-1.75=x^2-5x+6.25\\\\f(x)-1.75=(x-2.5)^2\\\\f(x)=(x-2.5)^2+1.75\\\\f(x)=(x-\frac{5}{2})^2+\frac{7}{4}

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