Question 31/34
Easy Mathematics
Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32
समीकरण \(x^2-8x+16=0\) का दोहराया हुआ मूल क्या है?
What is the repeated root of \(x^2-8x+16=0\)?
Explanation opens after your attempt
Step 1
Concept
(x-2-8x+16=(x-4)2). Therefore the repeated root is (4).
Step 2
Why this answer is correct
The correct answer is A. (4). (x-2-8x+16=(x-4)2). Therefore the repeated root is (4).
Step 3
Exam Tip
(x-2-8x+16=(x-4)2) है। इसलिए दोहराया हुआ मूल (4) है।
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Question 32/34
Easy Mathematics
Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31
समीकरण \(x^2-10x+25=0\) का मूल कौन सा है?
Which is the root of \(x^2-10x+25=0\)?
Explanation opens after your attempt
Correct Answer
B. (5) दो बार/(5) twice
Step 1
Concept
(x-2-10x+25=(x-5)2) so the repeated root is (5). Recognising a perfect square saves time.
Step 2
Why this answer is correct
The correct answer is B. (5) दो बार / (5) twice. (x-2-10x+25=(x-5)2) so the repeated root is (5). Recognising a perfect square saves time.
Step 3
Exam Tip
(x-2-10x+25=(x-5)2) इसलिए दोहराया मूल (5) है। पूर्ण वर्ग पहचानना समय बचाता है।
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Question 33/34
Easy Mathematics
Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31
समीकरण \(x^2+6x+9=0\) के मूल कौन से हैं?
What are the roots of \(x^2+6x+9=0\)?
Explanation opens after your attempt
Correct Answer
B. (-3) और (-3)/(-3) and (-3)
Step 1
Concept
(x-2+6x+9=(x+3)2) so both roots are (-3). In a perfect square the root sign is opposite.
Step 2
Why this answer is correct
The correct answer is B. (-3) और (-3) / (-3) and (-3). (x-2+6x+9=(x+3)2) so both roots are (-3). In a perfect square the root sign is opposite.
Step 3
Exam Tip
(x-2+6x+9=(x+3)2) इसलिए दोनों मूल (-3) हैं। पूर्ण वर्ग में मूल का चिन्ह उल्टा होता है।
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Question 34/34
Easy Mathematics
Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31
समीकरण \(x^2+2x+1=0\) का दोहराया हुआ मूल क्या है?
What is the repeated root of \(x^2+2x+1=0\)?
Explanation opens after your attempt
Step 1
Concept
(x-2+2x+1=(x+1)2) so the repeated root is (-1). Recognising a perfect square is useful.
Step 2
Why this answer is correct
The correct answer is B. (-1). (x-2+2x+1=(x+1)2) so the repeated root is (-1). Recognising a perfect square is useful.
Step 3
Exam Tip
(x-2+2x+1=(x+1)2) इसलिए दोहराया मूल (-1) है। पूर्ण वर्ग को पहचानना उपयोगी है।
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