Question

(iv) Find the value of a and b for the quadratic equation 5x ^ 2 - 7 = - 6x .​

Answer 1

Answer:

a=5,b=6,c=7

Step-by-step explanation:

5x^2-7=-6x

5x^26x+7=0

comparing with ax2+bx+c=0

a=5,b=6,c=7

Answer 2

${\large{\pmb{\sf{\underline{Given \: that...}}}}}$

★ Equation is given as 5x²-7 = -6x

${\large{\pmb{\sf{\underline{To \; find...}}}}}$

★ Value for a and b.

${\large{\pmb{\sf{\underline{Solution...}}}}}$

★ The value of a is 5

★ The value of b is 6

${\large{\pmb{\sf{\underline{Knowledge...}}}}}$

Some knowledge about Quadratic Equations -

★ Sum of zeros of any quadratic equation is given by ➝ α+β = -b/a

★ Product of zeros of any quadratic equation is given by ➝ αβ = c/a

★ A quadratic equation have 2 roots

★ ax² + bx + c = 0 is the general form of quadratic equation

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${\large{\pmb{\sf{\underline{Full \; Solution...}}}}}$

~ As a quadratic equation is given as 5x²-7 = -6x and it is said that we have to find out the value for a and b.

~ We can write this Equation 5x²-7 = -6x as 5x²+6x-7 = 0 we are writing it as like this because ax² + bx + c = 0 is the general form of quadratic equation. Henceforth, the value of a is 5 and the value of b is 6.