Question

Write the quadratic equation in standard form.
x + 5 = x(x − 9)

Write the quadratic equation in standard form
2(x − 3)2 = 1

Answer 1

Quadratic Standard form is ax²+bx+c=0
For the first one, first distribute the right side.
x+5=x²-9x
Then move the right side to the left by subtracting x² and adding 9x, which sets it equal to zero.
-x²+9x+x+5=0
Combine like terms
-x²+10x+5=0
x² must be positive, so multiply all by -1
Final answer x²-10x-5=0

Answer 2

How about the 2nd one?

Answer 3

Second one is the second 2 supposed to be a power like x² < this 2?

Answer 4

2(x-3)²=1 ?

Answer 5

yes?

Answer 6

Here's what I got, but I'm not 100% on this one.
2(x-3)²=1
Distribute power
(2)(x²+9)=1
Then multiply by 2
2x²+18=1
Subtract 1
2x²+18-1=0
Divide by 2
x²+9-1/2=0