Question

) Write the quadratic equation 3x² = 10x + 7 in the standard form and write the values of a and b.​

Answer 1

Question:-

• Write the quadratic equation 3x² = 10x + 7 in the standard form and write the values of a and b.

Solution for correct answer:-

• Quadratic equation= 3x²=10x+7
• => 3x²-10x-7=0

Standard form of quadratic equation

• ax²+bx+c=0

Answer 2

• The standard form : 3x² - 10x - 7 = 0

• Values : a = 3 , b = - 10

Given :

The equation 3x² = 10x + 7

To find :

• To express in standard form

• The values of a and b

Solution :

Step 1 of 3 :

Write down the given equation

Here the given equation is

3x² = 10x + 7

Step 2 of 3 :

Express in standard form

We know that standard form of any quadratic equation is

ax² + bx + c = 0 where a ≠ 0

The given equation 3x² = 10x + 7 can be written as

3x² - 10x - 7 = 0

Which is the required standard form

Step 3 of 3 :

Find the value of a and b

The given equation is 3x² = 10x + 7

Which can be rewritten as 3x² - 10x - 7 = 0

Comparing with the general equation ax² + bx + c = 0 we get

a = 3 , b = - 10 , c = - 7

Hence the required values are a = 3 , b = - 10

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