GCSE Secondary Maths Age 13-17 - Algebra: Quadratic Equation - Explained

The video tutorial explains how to solve a quadratic equation using the quadratic formula. It begins by identifying the coefficients A, B, and C, and then substitutes these values into the formula. The tutorial emphasizes the importance of handling negative signs correctly, especially when calculating the discriminant. It demonstrates how to derive two solutions and rounds them to three significant figures. The video also highlights common mistakes students make, such as incorrect handling of negative numbers and squaring errors.

What is the general form of a quadratic equation?

• AX^2 + C = 0

• AX + B = 0

• AX^2 + BX + C = 0

• X^2 + BX + C = 0

What is the value of B in the equation 3X^2 - 5X - 1 = 0?

• 3

• -5

• 5

• -1

What is the discriminant in the quadratic formula?

• b^2 + 2ac

• b^2 - 2ac

• b^2 + 4ac

• b^2 - 4ac

What is the result of 5 + sqrt(37) divided by 6?

• 1.8

• 1.847

• 1.85

• 1.9

How should the solution 1.84712708838 be rounded to three significant figures?

• 1.847

• 1.85

• 1.8

• 1.84

Why is it important to include the zero in -0.18 when rounding to three significant figures?

• To make the number larger

• To maintain the correct number of significant figures

• To ensure the number is positive

• To simplify the calculation

What common mistake might occur when squaring a negative number?

• Subtracting instead of adding

• Forgetting to square the negative sign

• Dividing instead of multiplying

• Adding instead of multiplying