1+7x+10x^2 solve

Answer 1

To solve the equation 1 + 7x + 10x^2, we can use the quadratic formula.

The quadratic formula is given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

Comparing the given equation to the standard quadratic form ax^2 + bx + c = 0, we have:
a = 10, b = 7, c = 1.

Plugging these values into the quadratic formula, we get:

x = (-7 ± √(7^2 - 4*10*1)) / (2*10)

Simplifying this expression further, we get:

x = (-7 ± √(49 - 40)) / 20
x = (-7 ± √9) / 20
x = (-7 ± 3) / 20

Solving for both values, we have:

x = (-7 + 3) / 20 = -4/20 = -1/5

x = (-7 - 3) / 20 = -10/20 = -1/2

So, the solutions to the equation 1 + 7x + 10x^2 = 0 are x = -1/5 and x = -1/2.