In this page factoring worksheet1 solution10 we are going to see solution of some practice questions from factoring worksheet1.

**Question 3:**

Solve by using quadratic formula x + (1/x) = 2 ½

**Solution:**

(X² + 1)/x = 5/2

2(x² + 1) = 5 x

2 x² + 2 = 5 x

2 x² – 5 x + 2 = 0

Now we are going to compare the given equation by ax² + b x + c = 0

a = 2 b = -5 c = 2

x = -b ± √(b² – 4 a c)/2a

x = -(-5) ±√[(-5)² – 4 (2)(2)]/2(2)

x = 5 ±√(25 - 16)/4

x = (5 ± √9)/4

x = (5 ± 3)/4

x = (5 + 3)/4 x = (5 - 3)/4

x = 8/4 x = 2/4

x = 2 x = 1/2

**Verification:**

(X² + 1)/x = 5/2

if x = 2

(2² + 1)/2 = 5/2

(4 + 1)/2 = 5/2

5/2 = 5/2

if x = 1/2

((1/2)² + 1)/(1/2) = 5/2

[(1/4) + 1]/[1/2] = 5/2

[(1 + 4)/4]/(1/2) = 5/2

(5/4) x (2/1) = 5/2

5/2 = 5/2

**Question 4:**

3 a²x² – a b x - 2b² = 0

**Solution:**

3 a²x² – a b x - 2b² = 0

Now we are going to compare the given equation by ax² + b x + c = 0

a = 3 a2 b = – a b c = - 2b²

x = -b ± √(b² – 4 a c)/2a

x = -(-a b) ±√[(-a b)² – 4 (3 a²)( - 2b²)]/2(3 a²)

x = a b ±√[a² b² + 24 a²b²)]/2(3 a²)

x = (a b ± 5 a b)/6a²

x = (a b + 5 a b)/6a² x = (a b - 5 a b)/6a²

x = 6 a b /6a² x = - 4 a b/6a²

x = b/a x = -2b/3a

factoring worksheet1 solution10 factoring worksheet1 solution10

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