Question

y^2 - 8√2y + 30 = 0​

Answer 1

Answer:

3√2, 5√2

Step-by-step explanation:

• y² - 8√2y + 30 = 0​
• y²-2*4√2y+32-2=0
• (y-4√2)²-√2²=0
• (y-4√2+√2)(y-4√2-√2)=0
• (y-3√2)(y-5√2)=0
• y-3√2=0 ⇒ y=3√2
• y-5√2=0 ⇒ y=5√2

Answer 2

Answer:

y²-8√2y+30

=y²-3√2y-5√2y+30

=y(y-3√2)-5√2(y-3√2)

=(y-3√2)(y-5√2)

So y=3√2 and 5√2

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