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Chapter 6: Q. 433 (page 636)

In the following exercises, solve.

(x+6)(x-3)=-8

Short Answer

Expert verified

Answer isx=2,x=-5

Step by step solution

01

Step 1. Given

The equation is(x+6)(x-3)=-8

02

Step 2. Simplify the equation

(x+6)(x-3)=-8x2+3x-18=-8x2+3x-10=0x2+5x-2x-10=0x(x+5)-2(x+5)=0(x+5)(x-2)=0

So,

x+5=0x=-5

and

x-2=0x=2

03

Step 3. Check both the values

Put x=-5in the original equation

(x+6)(x-3)=-8(-5+6)(-5-3)=-81脳-8=-8-8=-8

True

Now put x=2in the original equation,

(x+6)(x-3)=-8(2+6)(2-3)=-88脳-1=-8-8=-8

True

04

Step 4. Required answer

Answer isx=2,x=-5

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