Question

Find x if 2x, 5x - 2, 20x - 24 are in a geometric sequence

Answer 1

Answer:x=28+√544/56 or 28-√544/56

Step-by-step explanation:if they are in gp.then r=r

5x-2/2x=20x-24/5x-2. (5x-2)(5x-2)=40(x)(x)-48x. 48x-20x+4=40(x)(x)-25(x)(x). 28x+4=15(x)(x). 15(x)(x)-28x+4=0. Solve this quardatic equation to get value of x. Thankyou