2 to the power of 6/ 2 to the power of 4 x 2 to the power of 5
2 answers:
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Answer:
x = 3, x = 11
Step-by-step explanation:
Since PR is an angle bisector then it divides the opposite side into segments which are proportional to the other 2 sides, that is
=
, substitute values
=
( cross- multiply )
(x + 1)(x + 1) = 16(x - 2) ← expand left side using FOIL
x² + 2x + 1 = 16x - 32 ( subtract 16x - 32 from both sides )
x² - 14x + 33 = 0 ← in standard form
(x - 3)(x - 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 11 = 0 ⇒ x = 11