To solve each quadratic equation, we can factor them or use the quadratic formula.
10x^2 - 7x + 1 = 0This equation can be factored as:(5x - 1)(2x - 1) = 0So the solutions are:x = 1/5 or x = 1/2
-4x^2 - 6x + 18 = 0This equation can be factored as:-2(2x^2 + 3x - 9) = 0-2(x + 3)(2x - 3) = 0So the solutions are:x = -3 or x = 3/2
-15x^2 + 23x - 4 = 0This equation can be factored as:(-3x + 1)(5x - 4) = 0So the solutions are:x = 1/3 or x = 4/5
2x^2 + x - 10 = 0This equation can be factored as:(2x + 5)(x - 2) = 0So the solutions are:x = -5/2 or x = 2
12x^2 + 5x - 3 = 0This equation can be factored as:(4x - 1)(3x + 3) = 0So the solutions are:x = 1/4 or x = -1
18x^2 - 21x + 5 = 0This equation can be factored as:(2x - 1)(9x - 5) = 0So the solutions are:x = 1/2 or x = 5/9
6x^2 - 13x - 8 = 0This equation can be factored as:(3x + 1)(2x - 8) = 0So the solutions are:x = -1/3 or x = 4
To solve each quadratic equation, we can factor them or use the quadratic formula.
10x^2 - 7x + 1 = 0
This equation can be factored as:
(5x - 1)(2x - 1) = 0
So the solutions are:
x = 1/5 or x = 1/2
-4x^2 - 6x + 18 = 0
This equation can be factored as:
-2(2x^2 + 3x - 9) = 0
-2(x + 3)(2x - 3) = 0
So the solutions are:
x = -3 or x = 3/2
-15x^2 + 23x - 4 = 0
This equation can be factored as:
(-3x + 1)(5x - 4) = 0
So the solutions are:
x = 1/3 or x = 4/5
2x^2 + x - 10 = 0
This equation can be factored as:
(2x + 5)(x - 2) = 0
So the solutions are:
x = -5/2 or x = 2
12x^2 + 5x - 3 = 0
This equation can be factored as:
(4x - 1)(3x + 3) = 0
So the solutions are:
x = 1/4 or x = -1
18x^2 - 21x + 5 = 0
This equation can be factored as:
(2x - 1)(9x - 5) = 0
So the solutions are:
x = 1/2 or x = 5/9
6x^2 - 13x - 8 = 0
This equation can be factored as:
(3x + 1)(2x - 8) = 0
So the solutions are:
x = -1/3 or x = 4