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If roots of (x-p)(x-q) = c are a and bwhat will be the roots of (x-a)(x-b) = -c please explain?Ans) (x-p)(x-q)=cx2-(p+q)x-c=0hence, a+b=p+q and a.b=pq-c a.b+c=p.qby solving other eq we getx2-(a+b)x+ab+c=0thus sum of roots=a+b=p+q product of roots=a.b+c=p.qhence its roots are pand q
A car buyer has a choice of three makes, five body styles, and six colors. How many different choices does the buyer have?
y=f(a^x) and f(sinx)=lnx find dy/dx Solution) dy/dx = (a^x)(lnx)f''(a^x), .........(1) but f(sinx) = lnx implies f(x) = ln(arcsinx) hence f''(x) = (1/arcsinx) (1/ ( ( 1-x
Explain Angle Theorems ? Certain angles and angle pairs have special characteristics: Vertical angles are opposite angles formed by the intersection of two lines. Vertical ang
When Ms. Jones retired, she received a lump sum of $1,000,000 from her pension plan. She then invested this sum in an annuity account that would pay her an equal amount at the end
Evaluate the linear equation: Solve the equation ax - b = c for x in terms of a, b, and c. Solution: Step 1. Using Axiom 1, add b to both sides of the equation. a
a. Cassie has seven skirts, five blouses, and ten pairs of shoes. How many possible outfits can she wear? b. Cassie decides that four of her skirts should not be worn to school.
The Mean Value Theorem : In this section we will discuss the Mean Value Theorem. Before we going through the Mean Value Theorem we have to cover the following theorem. Ro
Solve 2 ln (√x) - ln (1 - x ) = 2 . Solution: Firstly get the two logarithms combined in a single logarithm. 2 ln (√x) - ln (x - l) = 2 ln ((√x) 2 ) ln (1 - x ) = 2
The area of a parallelogram can be expressed as the binomial 2x 2 - 10x. Which of the following could be the length of the base and the height of the parallelogram? To ?nd out
how do i turn a decimal into a fraction
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