√[tex]20x^{2}[/tex]-17x+26=5x-4

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To solve this equation, we first need to simplify by combining like terms:

√[tex]20x^{2}[/tex] - 17x + 26 = 5x - 4

√[tex]20x^{2}[/tex] - 22x + 30 = 0

Next, we need to isolate the square root term by moving all other terms to the other side of the equation:

√[tex]20x^{2}[/tex] = 22x - 30

Now, we can square both sides of the equation to get rid of the square root:

20x^2 = (22x - 30)^2
20x^2 = 484x^2 - 1320x + 900

Now, we simplify this equation further by combining like terms:

464x^2 - 20x^2 - 1320x + 900 = 0
464x^2 - 20x^2 - 1320x + 900 = 0

Divide both sides by 444:

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