Solve for x. Write both solutions, separated by acomma.6x2 + 5x - 14 = 0
1 answer:
Answer:
and
Step-by-step explanation:
To solve for x, you must factor the equation first.
Factoring
*note - the constant number (14) is negative, which means that there must be a negative and a positive when factoring*
(6x - 7)(1x + 2)
When you multiply what is factored above, you get your original equation
Solving for x
As you may know, you will have two x answers.
(6x - 7) = 0 and (1x + 2) = 0
6x - 7 = 0 add 7 to both sides to get 6x alone
6x = 7 divide both sides by 6 to get x
x = 7/6
1x + 2 = 0 subtract 2 from both sides to get 1x alone
1x = -2 divide both sides by 1 to get x
x = -2
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Answer:
The cost for painting will be $212.
Step-by-step explanation:
I am painting the walls and ceiling of a rectangular 20 x 30 ft room. The walls are 10 feet tall.
So, the total area to be painted = {2 × (20 + 30) × 10} + (20 × 30) = 1600 sq. ft.
Now, a gallon of paint covers 400 square feet and cost $53 per gallon.
So, the number of gallons of paint required will be gallons.
And the cost for painting will be $(4 × 53) = $212. (Answer)
The first equation is
(Equation 1)
The second equation is (Equation 2)
Putting the value of x from equation 1 in equation 2.
we get,
by simplifying the given equation,
Using discriminant formula,
Now the formula for solution 'x' of quadratic equation is given by:
Hence, these are the required solutions.