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3 years ago

NEED HELP FAST 30nPOINTS FOR BRAINLIEST √5x + √6 = √9

Mathematics

2 answers:

vodka [1.7K]3 years ago

8 0

$\sqrt{5x}$ + √6 = √9

The first step is to get $\sqrt{5x}$ by itself. We can do this by subtracting $\sqrt{6}$ from each side, and simplifying $\sqrt{9}$

$\sqrt{5x}$ = 3 - $\sqrt{6}$

Now we square both sides

5x = (3 - $\sqrt{6}$ )²

Using the formula (a - b)² = a² -2ab + b², (3 - $\sqrt{6}$ )² = 15 - 6 $\sqrt{6}$

5x = 15 - 6 $\sqrt{6}$

x = $\frac{15 - 6\sqrt{6}}{5}$

Anna007 [38]3 years ago

3 0

Next time please include the directions: "Solve this equation for x."

First, subtract √6 from both sides, obtaining √5*x = √9 - √6.

Next, divide both sides by √5:

√9 - √6

x = ----------------

√5

Altho' this is the answer, it's best to rationalize the denominator:

√9 - √6 √5 √5(√9 - √6)

x = ---------------- * ------- = -------------------- (best answer)

√5 √5 5

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