Solve 2x2 - 11x + 5 = 0.(1/2,5)(5/2,1){}
1 answer:
Answer:
x = , x = 5
Step-by-step explanation:
Given
2x² - 11x + 5 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × 5 = 10 and sum = - 11
The factors are - 1 and - 10
Use these factors to split the x- term
2x² - x - 10x + 5 = 0 ( factor the first/second and third/fourth terms )
x(2x - 1) - 5(2x - 1) = 0 ← factor out (2x - 1) from each term
(2x - 1)(x - 5) = 0
Equate each factor to zero and solve for x
2x - 1 = 0 ⇒ 2x = 1 ⇒ x =
x - 5 = 0 ⇒ x = 5
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Answer:
m∠y=72°
Step-by-step explanation:
<u><em>The question is</em></u>
Find the measure of angle y
step 1
Find the measure of angle x
see the attached figure to better understand the problem
we know that
m∠x=67° -----> by corresponding angles
step 2
Find the measure of angle y
we know that
(m∠x+m∠y)+42°=180° -----> because form a straight line
substitute the measure of angle x
67°+m∠y+42°=180
m∠y+108°=180
m∠y=180°-108°
m∠y=72°
