Question

Write x² + 10x + 29 in the form (x + c)² + d, where c

and d are numbers.
What are the values of c and d?

Answer 1

Answer:Write x² + 10x + 29 in the form (x + c)² + d, where c

Explanation:

Answer 2

(x+5)² + 4, so c is 5 and d is 4

Explanation:

x² + 10x + 29 is a quadratic equation which can be witten as x² + bx + c, where b is 10 and c is 29.

We need to complete the square to get it in the form

(x + c)² + d

Completing the square uses the form:

`(x + (b)/(2) ) {}^(2) - ( (b)/(2) ) {}^(2) + c`

substitute b = 10 and c = 29 in this form:

`(x + (10)/(2)) {}^(2) - ( (10)/(2) ) {}^(2) + 29`

Simplify further:

`(x + 5) {}^(2) - 25 + 29`

`(x + 5) {}^(2) + 4`

c = 5, d = 4