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quester [9]
4 years ago
5

Solve x^2 + 5x - 6 = 0

Mathematics
1 answer:
kvv77 [185]4 years ago
4 0

Let's solve your equation step-by-step.<span><span><span><span> x2</span>+<span>5x</span></span>−6</span>=0</span><span />

<span>
</span>Step 1: Factor left side of equation.<span><span><span> (<span>x−1</span>)</span><span>(<span>x+6</span>)</span></span>=0</span>

<span /><span>
</span>Step 2: Set factors equal to 0.<span><span><span> x−1</span>=<span><span><span><span><span>0‌</span>‌ or </span>‌</span>‌x</span>+6</span></span>=0</span><span>
</span><span>
</span><span><span>x=<span><span><span><span>1‌</span>‌ or </span>‌</span>‌x</span></span>=<span>−<span>6</span></span></span>

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Answer:

Part A:

(1) x + y = 95

(2) x = y + 25

Part B:

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Part C:

It is not possible for Eric to have spent exactly 35 minutes playing basketball

Step-by-step explanation:

The total time Eric plays basketball and volleyball = 95 minutes

The time duration Eric plays basket ball = x

The time duration Eric plays volleyball = y

Part A:

The pair of relationships between the number of minutes Eric plays basketball (x) and the number of minutes he plays volleyball (y) are;

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Part B:

By substituting the value of x in equation (2) into equation (1), we have;

x + y = (y + 25) + y = 95

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y = 70/2 = 35 minutes

Therefore, Eric spends 35 minutes playing volleyball every day

Part C:

It is not possible for Eric to have spent only 35 minutes playing basketball because, given that he plays basketball for 25 minutes longer than he plays volley, the number of minutes he spends playing volleyball will then be given as follows;

x = y + 25

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y = 35 - 25 = 10 minutes

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