2х²+7х-9=0 100х²-16=0 3х²=18х х²-16х+63=0

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вопрос

To solve the quadratic equations:

1) 2x^2 + 7x - 9 = 0
We can factor this equation to:
(2x - 1)(x + 9) = 0
Setting each factor to zero gives us:
2x - 1 = 0 or x + 9 = 0
2x = 1 or x = -9
x = 1/2 or x = -9

2) 100x^2 - 16 = 0
We can factor this equation to:
(10x + 4)(10x - 4) = 0
Setting each factor to zero gives us:
10x + 4 = 0 or 10x - 4 = 0
10x = -4 or 10x = 4
x = -4/10 or x = 4/10
x = -2/5 or x = 2/5

3) 3x^2 = 18x
Dividing both sides by x:
3x = 18
x = 18/3
x = 6

4) x^2 - 16x + 63 = 0
We can factor this equation to:
(x - 7)(x - 9) = 0
Setting each factor to zero gives us:
x - 7 = 0 or x - 9 = 0
x = 7 or x = 9

Therefore, the solutions to the quadratic equations are:
x = 1/2, x = -9 for 2x^2 + 7x - 9 = 0
x = -2/5, x = 2/5 for 100x^2 - 16 = 0
x = 6 for 3x^2 = 18x
x = 7, x = 9 for x^2 - 16x + 63 = 0