Subject: Mathematics
Book: Maths Mastery
Radical equations contain variables under a radical (e.g., √(x+1)=x–3). Generally, isolate the radical, then square both sides carefully. For instance, √(x+1)=x–3 implies x+1=(x–3)²= x²–6x+9, giving x²–7x+8=0. Solutions must be checked to exclude extraneous ones introduced by squaring. This approach appears in geometry (distance formulas), physics (velocity or acceleration equations), and advanced algebra. Consistent practice ensures you systematically remove radicals, preserving correct solutions without false inclusions.
If x - y = 5 and x + y = 15, what is the value of x?
View QuestionThe base of a triangle is 10 cm and its height is 6 cm. What is its area?
View QuestionThe probability of rolling a sum of 7 with two dice is:
View QuestionA triangle has angles 60°, 60°, and 60°. What type of triangle is it?
View QuestionWhat is the area of an equilateral triangle with side length 10 cm?
View QuestionWhat is the probability of drawing an ace from a standard deck of 52 cards?
View QuestionA number is increased by 20% and then decreased by 10%. What is the net change?
View QuestionIf a person can type 45 words per minute, how many words can they type in 2 hours?
View QuestionWhat is the slope of a line passing through the points (2, 3) and (4, 7)?
View QuestionIf 2x - 3 = 7, what is the value of x?
View Question