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.
A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?
View QuestionA train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?
View QuestionWhat is the value of log₃(27)?
View QuestionIf a = 2 and b = 3, what is the value of (a^2 + b^2)?
View QuestionThe sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?
View QuestionA sum triples in 20 years at simple interest. What is the rate of interest per annum?
View QuestionIf the perimeter of a square is 40 cm, what is the area of the square?
View QuestionThe perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?
View QuestionIf the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?
View QuestionThe probability of getting an even number when rolling a die is:
View Question