Explanation

Explanation

What are the factors ofx^2−5?

We use the identity:

a^2−b^2=(a−b)(a+b)

x^2−5=x^2− √5

(x − √5)(x + √5)

 Last updated NA 13-04-2026

Explanation

We are given:

$$(2a-7b,5b)=(-10a,3+b)$$

Step 1: Equate corresponding components

Since ordered pairs are equal:

1. First components:

$$2a-7b=-10a$$

2. Second components:

5b=3+b

Step 2: Solve second equation

5b=3+b
5b−b=3
$$4b=3$$

b=3/4​

Step 3: Substitute into the first equation

2a−7(3/4)=−10a
2a−21/4​=−10a

Bring like terms together:

$$2a + 10a = frac{21}{4}$$ $$12a = frac{21}{4}$$a=21​/48=7/16​

Final Answer:

a=7/16,b=3/4

 Last updated NA 13-04-2026
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Explanation

In the proportion 5 : 5 :: 6 : X, find X

We use the proportion rule:

$frac{a}{b} = frac{c}{d}$

Apply the values:

5/5​=6/X​
1=6/X​
$$X=6$$

$$Last\; updated\; NA\; 13-04-2026$$

Explanation

We use the triangle angle rule

A+B+C=180∘

50∘+40∘=90∘

180∘−90∘=90∘

 Last updated NA 13-04-2026