6x² - 25x + 21 = 0 (QUADRATIC EQUATION)
Answers
Answer:
Simplifying
6x2 + -25x + 21 = 0
Reorder the terms:
21 + -25x + 6x2 = 0
Solving
21 + -25x + 6x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(7 + -6x)(3 + -1x) = 0
Subproblem 1
Set the factor '(7 + -6x)' equal to zero and attempt to solve:
Simplifying
7 + -6x = 0
Solving
7 + -6x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + -6x = 0 + -7
Combine like terms: 7 + -7 = 0
0 + -6x = 0 + -7
-6x = 0 + -7
Combine like terms: 0 + -7 = -7
-6x = -7
Divide each side by '-6'.
x = 1.166666667
Simplifying
x = 1.166666667
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:
Simplifying
3 + -1x = 0
Solving
3 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3
Combine like terms: 0 + -3 = -3
-1x = -3
Divide each side by '-1'.
x = 3
Simplifying
x = 3
Solution
x = {1.166666667, 3}
Step-by-step explanation:
6x²-25x+21
solving by Quadratic Formula
a=6,b= -25,c=21
formula =
= -b+-√b²-4ac/2a
= -(-25)+-√(-25)²-4×6×21/2×6
= 25+-√625-504/12
= 25+-√121/12. (√121=11)
= 25+-11/12
25+11/12=x and. 25-11/12=x
x=3. and. x=7/6
please mark it brainliest