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marissa [1.9K]
3 years ago
9

What is x^2-9x+4=0? please help.. i’m using this method: (x+b)^2-b^2=x^2+2bx

Mathematics
1 answer:
AnnZ [28]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Given

x² - 9x + 4 = 0 ( subtract 4 from both sides )

x² - 9x = - 4

Using the method of completing the square

Add ( half the coefficient of the x- term )² to both sides

x² +2 (- \frac{9}{2})x + \frac{81}{4} = - 4 + \frac{81}{4}

(x - \frac{9}{2})² = \frac{65}{4}

Take the square root of both sides

x - \frac{9}{2} = ± \sqrt{\frac{65}{4} } = ± \frac{1}{2}\sqrt{65}

Add \frac{9}{2} to both sides

x = \frac{9}{2} ± \frac{1}{2}\sqrt{65} ← exact solutions

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