Answer:
x=-7
Step-by-step explanation:
Simplifying
3(x + -2) = 5x + 8
Reorder the terms:
3(-2 + x) = 5x + 8
(-2 * 3 + x * 3) = 5x + 8
(-6 + 3x) = 5x + 8
Reorder the terms:
-6 + 3x = 8 + 5x
Solving
-6 + 3x = 8 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
-6 + 3x + -5x = 8 + 5x + -5x
Combine like terms: 3x + -5x = -2x
-6 + -2x = 8 + 5x + -5x
Combine like terms: 5x + -5x = 0
-6 + -2x = 8 + 0
-6 + -2x = 8
Add '6' to each side of the equation.
-6 + 6 + -2x = 8 + 6
Combine like terms: -6 + 6 = 0
0 + -2x = 8 + 6
-2x = 8 + 6
Combine like terms: 8 + 6 = 14
-2x = 14
Divide each side by '-2'.
x = -7
Simplifying
x = -7
0.088235294117647 (20 characters thing)
Answer:
- The required value of q is 35.
Step-by-step explanation:
Let α and β are the zeros of quadratic equation, x^2−12x+q=0.
- It is given that difference between the roots of the quadratic equation x^2−12x+q=0 is 2.
Equation : α - β = 2
Equation : α + β = 12
Equation : αβ = q
We have to create an algebraic expression.
(a+b)² = (a-b)² + 4ab
(12)² = (2)² + 4q
144 = 4 + 4q
144 - 4 =4q
140=4q
q = 140/4
q = 35
Therefore, the required value of q is 35.
<u>Some information about zeroes of quadratic equation. </u>
- Sum of zeroes = -b/a
- Product of Zeroes = c/a
Answer:
x = 47/7 or 6.714
Step-by-step explanation:
7 (x+3) = 72-4
7x + 21 = 68
7x = 68 - 21
7x = 47
x = 47/7 or 6.714
