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Guided Step 1

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Q1: What is the discriminant of 2x² + 3x − 5 = 0?

## Let's find b² − 4ac

From 2x² + 3x − 5 = 0: What are the values of a, b, and c?

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Q1 · Discriminant
Q2 · Factorisation
Q3 · Gradient
Q4 · Quadratic Formula
Q5 · Completing the Square
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📚 Time for Question 1!

Q1: Find the discriminant of 2x² + 3x − 5 = 0

Topic: Algebra · GCSE AQA · 3 marks

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Guided Step 3 of 5
Not quite! Let's work through the discriminant formula step by step. 🤔
In 2x² + 3x − 5 = 0, identify a, b, and c. What are they?
umm... a=2, b=3, c=5?⚠ Check the sign on c
Almost! Notice the equation has '−5', so c = −5. Signs matter in the formula!
Oh right — a=2, b=3, c=−5✓
✓ Exactly! Now calculate b²: what is 3 × 3?
9✓
🎉 And −4 × 2 × (−5) = 40. So b² − 4ac = 9 + 40 = 49. You got there!
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Well done!

3² − 4(2)(−5) = 9 + 40 = 49
The discriminant is 49.
Since > 0: two distinct real roots.
Identify a=2, b=3, c=−5
Calculate b² = 9
Calculate −4ac = +40
Sum: 49
Exam Tip: Always show each step — full working earns marks even if the final answer is wrong.
Common Mistake: Forgetting the negative sign on c — c = −5 not +5.
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## Step 1: Identify the values

In 2x² + 3x − 5 = 0:

What are a, b, and c?

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1.
a=2, b=3, c=−5
2.
b² = 9
3.
−4ac = 40
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Questions
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Q1 · Find the discriminant
Q2 · Factorise x² + 5x + 6
Q3 · Find the gradient of...
Q4 · Solve using the formula...
Q5 · Complete the square...

2 correct · 1 to review · 2 remaining

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5 Qs

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