# What value for c will make the expression a perfect square trinomial? x^{2} – 7x + c

-(49/4), -(7/2), (7/2), (49/4)

**Solution:**

The standard form of a perfect square trinomial is

(x - a)^{2} = x^{2} - 2ax + a^{2}

x^{2} - 7x + c [Given]

By comparing it with the standard form

- 7x = - 2ax -------->(1)

c = a^{2}-------->(2)

Solving the equations separately for a and x we get,

- 7x = - 2ax

a = 7/2

c = a^{2 }= (7/2)^{2}

Here

(x - (7/2))^{2} = x^{2} - 7x + (49/4)

Therefore, the value of c is 49/4

## What value for c will make the expression a perfect square trinomial? x² – 7x + c

-(49/4), -(7/2), (7/2), (49/4)

**Summary: **

The value of c which makes the expression x^{2} – 7x + c a perfect square trinomial is 49/4

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