Solve Quadratic Equations by Factoring: Solve by factoring and using the Zero Product Property:
1.2x^2+3x-5=x^2+4x-5
2.16x^2+5=4
3.X^2+45=20-10x
WILL MARK BRAINLIEST!!

Step-by-step explanation:

Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.

1. x^2 -x = 0

  x(x -1) = 0 . . . . . x = 0 or 1

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2. 16x^2 +1 = 0

This is the "difference of squares" ...

  (4x)^2 - (i)^2 = 0

  (4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)

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3. x^2 +10x +25 = 0

  (x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2

the answer is b.

64

step-by-step explanation:

c=2πr=2·π·8≈64

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus