Answer:
x = 0.2
Step-by-step explanation:
2x^2+x=-1
4x + x = -1
5x = -1
divide by 5
5x/5 = -1/5
x = 0.2
1 gallon=16 cups
3 times 16=48
plus 14 mroe
48+14=62 cups total
Answer:
x=-5
Step-by-step explanation:
Answer:
x = 177/8
Step-by-step explanation:
First, we must get rid of the fraction by multiplying 8 by both sides.
8 · 1/8(8x + 15) = 24 · 8
1(8x + 15) = 192
8x + 15 = 192
Then we simplify. First subtract 15 from both sides.
8x + 15 - 15 = 192 - 15
8x = 177
Then divide 8 from both sides.
8x/8 = 177/8
x = 177/8
Remark
It's a right triangle so the Pythagorean Theorem applies. All you have to do is put the right things in the right places of the formula.
Givens
a = x
b = x + 4
c = 20
Formula and Substitution.
a^2 + b^2 = c^2
x^2 + (x + 4)^2 = 20^2
Solution
x^2 + x^2 + 8x + 16 = 20 Collect the like terms on the left.
2x^2 + 8x + 16 = 20 Subtract 20 from both sides.
2x^2 + 8x + 16 - 20 = 0
2x^2 + 8x - 4 = 0 Divide through by 2
x^2 + 4x - 2 = 0
Use the quadratic formula
a = 1
b = 4
c = - 2

From which x = (-4 +/- sqrt(24) ) / 2
x1 = (- 4 +/- sqrt(4*6) ) / 2
x1 = (- 4 +/- 2 sqrt(6) ) / 2
x1 = -2 + sqrt(6)
x2 = -2 - sqrt(6) This is an extraneous root. No line can be minus.
x1 = + 0.4495
x2 = x + 4 = 4.4495