Math Problem Statement
ײ-7×+10=0 "solve this using quadratic formula"
Solution
To solve the quadratic equation using the quadratic formula, we follow these steps.
The quadratic formula:
Where is the standard form of a quadratic equation.
For the given equation :
Step-by-step solution:
-
Calculate the discriminant:
-
Apply the quadratic formula:
-
Solve for the two possible values of :
Final Answer:
The two solutions are and .
Would you like more details on any step or further explanation?
Here are 5 related questions:
- How do you derive the quadratic formula?
- What happens if the discriminant is negative?
- Can you solve a quadratic equation by factoring?
- What is the significance of the discriminant in quadratic equations?
- How would the quadratic formula change if ?
Tip: The discriminant () determines the nature of the roots:
- : Two real and distinct roots.
- : One real and repeated root.
- : Two complex roots.
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Formulas
Quadratic formula: x = (-b ± √(b² - 4ac)) / 2a
Theorems
Quadratic formula
Discriminant
Suitable Grade Level
Grades 9-10
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