Question

Rewrite the equation in the form (x-p)² =q.

x^2 + 5x+9/4=0


The rewritten equation is.

(Use integers or fractions for any numbers in the equation. )

Answer 1

p = -5/2 and q = 4

Explanation:

`x^(2) + 5x + (9)/(4)=0\\ x^2+2.x.(5)/(2)+ (9)/(4) = 0\\x^2+2.x.(5)/(2) + ((5)/(2)) ^(2) - ((5)/(2))^2 + (9)/(4) = 0\\ (x+(5)/(2) )^2=(25)/(4)-(9)/(4)\\(x+(5)/(2) )^2 = 4`