SOLUTION: (pretend exponets ^1) 1. What is the positive solution of 3x^2 -10x-8=0? 2. A triangular-shaped wall has a base of 2x +4 and a height of x +3. The area of the triangle is 56 i

Question 950051: (pretend exponets ^1)
1. What is the positive solution of 3x^2 -10x-8=0?
2. A triangular-shaped wall has a base of 2x +4 and a height of x +3. The area of the triangle is 56 in^.2.What is the value of x?

Found 2 solutions by Fombitz, macston:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Only the positive solution,

.
.
.
The area of a triangle is,

Only the positive solution works here,

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
PROBLEM 1:

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=196 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 4, -0.666666666666667. Here's your graph:

ANSWER: The positive solution is 4.
PROBLEM 2:
b=base; h=height; a=area=1/2(b)(h)

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=225 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 5, -10. Here's your graph:

Our answer is the positive solution. ANSWER: The value of x is 5.
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