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Pepsi [2]
3 years ago
6

Solve the equation

Mathematics
1 answer:
Nuetrik [128]3 years ago
7 0

Answer:

x = 1.32, -5.32

Step-by-step explanation:

x^2 + 4x - 7

Set equal to zero

x^2 + 4x - 7 =0

Add 7 to each side

x^2 + 4x =7

Take the coefficient of x and divide by 2

4/2

Square it

2^2 =4

Add to each side

x^2+4x+4 = 7+4

(x+2)^2 = 11

Take the square root of each side

x+2 = ±sqrt(11)

Subtract 2 from each side

x = -2 ±sqrt(11)

x=1.31662

x=-5.31662

To 2 decimal places

x = 1.32, -5.32

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Answer:

The greater root of  3x^2 + 10x - 8 = 0  is x = 3/2.

Step-by-step explanation:

Here, the given equation is  : 3x^2 + 10x - 8 = 0

Now, solving the given expression by SPLITTING THE MIDDLE TERM,

3x^2 + 10x - 8 = 0  \implies 3x^2 + 12x - 2x - 8 = 0\\\implies 3x(x + 4)-2(x +4)  =0 \\\implies (3x -2)(x +4)  = 0\\

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So, the two possible roots of the given equation are, x = 3/2 and x = -4

Now, out of both two  possible roots, x  3/2 is the Greater.

Hence, the greater root of  3x^2 + 10x - 8 = 0  is x = 3/2.

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Read 2 more answers
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