   # Ecuaciones de segundo grado en inglés

## Ecuaciones de segundo grado en inglés

The standard form of a quadratic equation is

a, b are values and x is the variable.

The values of x which are the solutions of the equation are given by:

#### Number of solutions

If Δ=0, it only has one solution.
If Δ>0, the equation has 2 solutions.
If Δ<0, the equation has not solution.

There are other ways to resolve the quadratic equations, for instance by factorisation.

### Incomplete equations

Equations of the type ax²+c=0

x=±√-c/a

Equations of the type ax²+bx=0

Solutions x=0 and x=-b/a

1. Solve the following equations

a)

b)

c)

d)

e)

f)

2. The sum of a number and its square  is 30. Find this number.

3. Given the formula d=gt²/2, used in physics, find the formula for t.

4.  The hypotenuse of a right triangle is 10 meters. If one side is 2 meters longer than the other side, what is the lenght of the shorter side?.

5. The base of a rectangle is 3 metres longer than the height of  a rectangle. Its area is 88m². What are the dimensions of the rectangle?.

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