Answer:
x = 2 or x =7
Explanation:
move the 9x and 14 to the other side of the = sign.
this gives x² - 9x + 14 = 0.
for this question we can factorise (use parentheses). but i will also show how to use quadratic formula too.
for factorising we need two number that, when multiplied together, give an answer of 14. but when the same two number are added, they give -9.
(x - 2) (x -7) will work since -2 X -7 = +14. -2 + -7 = -2 - 7 = -9.
(x - 2) ( x - 7) = 0. That means either x =2 or x =7.
for quadratic formula:
x² means just 1 multiplied by x². think of it as a '1' in front.
x² - 9x + 14 = 0
1 and -9 are coefficients. 14 is a constant (meaning it is not with either an x).
x is a variable.
the quadratic formula is:
x = (-b ± √(b² - 4ac) ÷ 2a)
where a is the value of the first coefficient, b is value of the second and c is value of the constant.
x = (- (-9) ± √((-9)² - 4(1)(14) ÷ 2(1))
= (9 ± √(81 - 56)) ÷ 2)
= (9 ± 5) ÷ 2
= 14/2 or 4/2
= 7 or 2, as above