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Chapter 10: Q 329. (page 1240)

Solve the quadratic equations below. Use any method you want.

x(x+3)+12=0

Short Answer

Expert verified

There is no real solution because the square root of the negative number -39 is not real.

As a result, the equation has no solution.

Step by step solution

01

Given information.

The given equation is

x(x+3)+12=0

02

Step 2. Use the quadratic formula to solve the equation.

First, write the equation ax2+bx+c=0 a in standard form, as shown below.

[Use distributive property]

x路x+3路x+12=0x2+3x+12=0

In standard form, the equation is

x2+3x+12=0

Determine the a, b, and c values.

In comparison to the standard form, the values are a=1,b=3, and c=12.

In the quadratic formula, substitute a=1, b=3, and c= -12.

x=-b卤b2-4ac2a

Put the value.

localid="1653830429546" x=-3卤32-4(1)(-12)2(1)

As shown below, simplify the fraction.

x=-3卤9-482x=-3卤-392

There is no real solution because the square root of the negative number -39 is not real.

As a result, the equation has no solution.

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