# Solve the Following Quadratic Equation Using Formula Method Only - Mathematics

Sum

Solve the following quadratic equation using formula method only :

16x2 = 24x + 1

#### Solution

16x2 = 24x + 1

16x2 - 24x - 1 = 0

"x"^2 - 3/2 "x" - 1/16 = 0

a = 1 ; b = -3/2 ; c  =- 1/16

D = b2 - 4ac

= (- 3/2)^2 - 4(1)(-1/16)

= 9/4 + 1/4

= 10/4

x = (- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)

x = (- (- 3/2) ± sqrt (10/4))/(2 xx 1)

x = (3 + sqrt 10)/4 , x = (3 - sqrt(10))/4

Is there an error in this question or solution?

#### APPEARS IN

Frank ICSE Class 10 Mathematics Part 2
Exercise 6.2 | Q 3.01