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Chapter 9: Q42. (page 595)

Solve the equation by using the Quadratic formula. Round to the nearest tenth if necessary.

2h2+8h+3=3

Short Answer

Expert verified

Thesolutions of the quadratic equations are 0 and-4.

Step by step solution

01

Step 1. Understand the concept used.

If ax2+bx+c=0, with a鈮�0, then x=鈭�b卤b2鈭�4ac2a. Solving using factoring can be done by splitting the middle term of the equation and then making groups and equating them to zero.

02

Step 2. Substitute the values. 

It is given that 2h2+8h+3=3. The equation can be rewritten as 2h2+8h=0. Using the quadratic formula h=鈭�b卤b2鈭�4ac2a, substitute 2 for a,8 for band 0 for c.

Put the values in the formula and get h=鈭�8卤82鈭�4脳2脳022.

03

Step 3. Write the solutions.

Simplify the expression for h.

h=鈭�8卤82鈭�4脳2脳022

=鈭�8卤644=鈭�8卤84

Therefore, either

h=鈭�8+84=0

or,

h=鈭�8鈭�84=鈭�4

that is., either h=0or h=-4.

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