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Solution
Solve the equation
.
Solve the quadratic equation by following steps:
Solve the quadratic equation by following steps:
- step0: Solve by factoring:
- step1: Move the expression to the left side:
- step2: Factor the expression:
- step3: Simplify the expression:
- step4: Move the constant to the right side:
- step5: Remove 0:
The solution to the equationis .
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Mind Expander
To solve the equation
, we first rearrange it into standard form:
Next, we notice that this is a perfect square trinomial. It factors to:
This indicates that there is a double root. Solving for
, we get:
So, the solution to the equation is
.
If we substitute
back into the original equation, we can confirm:
Thus,
is indeed correct!