QuestionQUESTION 3 / 10 - LEVEL 1 8 MARK(S) Let and be the roots of the equation . What is the value of ?
Studdy Solution
STEP 1
1. The roots and satisfy the quadratic equation .
2. We can use Vieta's formulas to find and .
3. We need to find the value of .
STEP 2
1. Use Vieta's formulas to find and .
2. Expand the expression .
3. Substitute the values from Vieta's formulas into the expanded expression.
4. Calculate the final value.
STEP 3
Apply Vieta's formulas. For the quadratic equation , Vieta's formulas give us:
STEP 4
Expand the expression :
STEP 5
Substitute the values from Vieta's formulas into the expanded expression:
STEP 6
Calculate the final value:
The value of is:
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