Answer:

Step-by-step explanation:
Alrighty let's do this.
We know that formula for the Area of a triangle is:

They give us the area as
, so let's include it in the equation.

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that 
So replace
in the equation with
.
You will now get:

Now we can work towards solving. Let's get simplifying.

bring everything to one side so we can make a quadratic and factor:

We get that
.
Since we need the height of the triangle we'll need to call back on what h is. We found earlier that
, so to find h, we just sub in our b value into that.

We find that 
Answer:
x = - 4 , x = 
Step-by-step explanation:
given 2x² + 7x = 4
rearrange into standard form : ax² + bx + c = 0 : a ≠ 0
subtract 4 from both sides
2x² + 7x - 4 = 0 ← in standard form
Consider the product of the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term, that is
product = 2 × - 4 = - 8 and sum = + 7
The factors are + 8 and - 1
use these factors to split the middle term
2x² + 8x - x - 4 = 0 ( factor by grouping first/second and third/fourth terms )
2x(x + 4) - 1(x + 4) = 0 ( take out the common factor (x + 4) )
(x + 4)(2x - 1) = 0
equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = 
D sounds like the best answer math can be hard tho
2x - 3 = 60
(Add 3 to both sides)
2x - 3 + 3 = 60 + 3
2x = 63
(Divide by 2)
2x / 2 = 63 / 2
x = 31.5