Question

Let u=y-2. (y-2)² + 13(y-2)+42 = 0 u² + 13u +42 = 0 Step 2: Solve the equation au² + bu + c = 0. To solve the equation, factor the left side of the equation. u² + 13u + 42 = 0 (u+6)(u+7) = 0 Use the Zero-Product Property to finish solving for u. u+6 = 0 (u + 6)(u + 7) = 0 or u+7 = 0 u = -6 u = -7 Step 3: Rewrite the solution in terms of the original variable. u = -6 u = -7 Replace u with y -2. y-2 = 6 or y-2 = -7 Solve for y. y = -4 y = -5 Step 4: Verify your solutions. Start with y = -4. (-4-2)²+13(-4-2)+42 = 0 ² +13( )+42 = 0

          Let u=y-2.
(y-2)² + 13(y-2)+42 = 0
u² + 13u +42 = 0
Step 2: Solve the equation au² + bu + c = 0.
To solve the equation, factor the left side of the equation.
u² + 13u + 42 = 0
(u+6)(u+7) = 0
Use the Zero-Product Property to finish solving for u.
u+6 = 0
(u + 6)(u + 7) = 0
or
u+7 = 0
u = -6
u = -7
Step 3: Rewrite the solution in terms of the original variable.
u = -6
u = -7
Replace u with y -2.
y-2 = 6
or
y-2 = -7
Solve for y.
y = -4
y = -5
Step 4: Verify your solutions.
Start with y = -4.
(-4-2)²+13(-4-2)+42 = 0
² +13( )+42 = 0

Let u=y-2.
(y-2)² + 13(y-2)+42 = 0
u² + 13u +42 = 0
Step 2: Solve the equation au² + bu + c = 0.
To solve the equation, factor the left side of the equation.
u² + 13u + 42 = 0
(u+6)(u+7) = 0
Use the Zero-Product Property to finish solving for u.
u+6 = 0
(u + 6)(u + 7) = 0
or
u+7 = 0
u = -6
u = -7
Step 3: Rewrite the solution in terms of the original variable.
u = -6
u = -7
Replace u with y -2.
y-2 = 6
or
y-2 = -7
Solve for y.
y = -4
y = -5
Step 4: Verify your solutions.
Start with y = -4.
(-4-2)²+13(-4-2)+42 = 0
² +13( )+42 = 0

Added by Gema R.

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